# Quiz 11: Chi-Square Tests

Statistics

Q 1Q 1

The parameter(s)of the chi-square distribution is/are:
A)the sample size
B)degrees of freedom
C)n and x
D)n,x,and p

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Multiple Choice

B

Q 2Q 2

For a chi-square distribution curve with 3 or more degrees of freedom,the peak occurs at the point:
A)x = 10
B)x = degrees of freedom minus 1
C)x = degrees of freedom minus 2
D)n - x

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Multiple Choice

C

Q 3Q 3

A chi-square distribution assumes:
A)negative values only
B)positive values only
C)nonnegative values only
D)all values

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Multiple Choice

C

Q 4Q 4

For small degrees of freedom,the chi-square distribution is:
A)symmetric
B)skewed to the right
C)skewed to the left
D)rectangular

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Multiple Choice

Q 5Q 5

For very large degrees of freedom,the chi-square distribution becomes:
A)symmetric
B)skewed to the right
C)skewed to the left
D)rectangular

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Multiple Choice

Q 6Q 6

What is the chi-square value for 14 degrees of freedom and a .05 area in the right tail?
A)21.604
B)26.119
C)23.685
D)29.141

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Multiple Choice

Q 7Q 7

What is the chi-square value for 9 degrees of freedom and a .01 area in the left tail?
A)21.666
B)-21.666
C)2.088
D)-2.088

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Multiple Choice

Q 8Q 8

What is the chi-square value for 19 degrees of freedom and a 0.025 area in the right tail?
A)30.144
B)32.852
C)8.907
D)10.117

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Multiple Choice

Q 9Q 9

What is the chi-square value for 12 degrees of freedom and a 0.10 area in the left tail?
A)6.304
B)-6.304
C)18.549
D)-18.549

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Multiple Choice

Q 10Q 10

Which of the following is not a characteristic of a multinomial experiment?
A)It consists of two identical trials.
B)Each trial results in one of the k possible outcomes where k is a number greater than 2.
C)The trials are independent.
D)The probabilities of various outcomes remain constant for each trial.

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Multiple Choice

Q 11Q 11

Which of the following is not a characteristic of a multinomial experiment?
A)It consists of n identical trials.
B)Each trial results in one of two possible outcomes.
C)The trials are independent.
D)The probabilities of various outcomes remain constant for each trial.

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Multiple Choice

Q 12Q 12

Which of the following is not a characteristic of a multinomial experiment?
A)It consists of n identical trials.
B)Each trial results in one of the k possible outcomes where k is a number greater than 2.
C)The trials are dependent.
D)The probabilities of various outcomes remain constant for each trial.

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Multiple Choice

Q 13Q 13

Which of the following is not a characteristic of a multinomial experiment?
A)It consists of n identical trials.
B)Each trial results in one of the k possible outcomes where k is a number greater than 2.
C)The trials are independent.
D)The probabilities of various outcomes are different for each trial.

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Multiple Choice

Q 14Q 14

For a goodness-of-fit test,the frequencies obtained from the performance of an experiment are the:
A)expected frequencies
B)subjective frequencies
C)objective frequencies
D)observed frequencies

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Multiple Choice

Q 15Q 15

For a goodness-of-fit test,the frequencies that we would obtain if the null hypothesis is true are the:
A)expected frequencies
B)subjective frequencies
C)objective frequencies
D)observed frequencies

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Multiple Choice

Q 16Q 16

For a goodness-of-fit test with the number of categories equal to k and sample size equal to n,the degrees of freedom are:
A)k - 2
B)n - k
C)k - n
D)k - 1

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Multiple Choice

Q 17Q 17

For a goodness-of-fit test,when n is the sample size and p is the probability of a category occurring,we calculate the expected frequency for a category by:
A)
B)
C)
D)

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Multiple Choice

Q 18Q 18

For a goodness-of-fit test,the sample size should be large enough so that the:
A)observed frequency for each category is at least 10
B)expected frequency for each category is at least 10
C)observed frequency for each category is at least 5
D)expected frequency for each category is at least 5

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Multiple Choice

Q 19Q 19

A goodness-of-fit test:
A)is always a right-tailed test
B)is always a left-tailed test
C)is always a two-tailed test
D)can be a right-tailed,left-tailed,or a two-tailed test

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Multiple Choice

Q 20Q 20

Use the following to answer questions 20-24:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.What is the expected frequency for the second category?

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Short Answer

Q 21Q 21

Use the following to answer questions 20-24:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.The expected frequencies for the four categories are:

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Essay

Q 22Q 22

Use the following to answer questions 20-24:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.What are the degrees of freedom for this test?

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Short Answer

Q 23Q 23

Use the following to answer questions 20-24:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.The significance level is 1%.What is the critical value of chi-square?
A)13.277
B)11.345
C)12.838
D)14.860

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Multiple Choice

Q 24Q 24

Use the following to answer questions 20-24:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.What is the value of the test statistic,rounded to three decimal places?

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Short Answer

Q 25Q 25

Use the following to answer questions 25-29:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category,30% belong to the second category,20% belong to the third category,and 10% belong to the fourth category.What is the expected frequency for the fourth category?

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Short Answer

Q 26Q 26

Use the following to answer questions 25-29:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category,30% belong to the second category,20% belong to the third category,and 10% belong to the fourth category.The expected frequencies for the four categories are:

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Essay

Q 27Q 27

Use the following to answer questions 25-29:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category,30% belong to the second category,20% belong to the third category,and 10% belong to the fourth category.What are the degrees of freedom for this test?

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Short Answer

Q 28Q 28

Use the following to answer questions 25-29:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category,30% belong to the second category,20% belong to the third category,and 10% belong to the fourth category.The significance level is 10%.What is the critical value of chi-square?
A)9.488
B)7.815
C)7.779
D)6.251

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Multiple Choice

Q 29Q 29

Use the following to answer questions 25-29:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the four categories is the same.What is the value of the test statistic,rounded to three decimal places?

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Short Answer

Q 30Q 30

Use the following to answer questions 30-34:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.What is the expected frequency for the fourth category?

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Short Answer

Q 31Q 31

Use the following to answer questions 30-34:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.The expected frequencies for the five categories are:

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Essay

Q 32Q 32

Use the following to answer questions 30-34:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.What are the degrees of freedom for this test?

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Short Answer

Q 33Q 33

Use the following to answer questions 30-34:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.The significance level is 5%.What is the critical value of chi-square?
A)11.070
B)12.833
C)11.143
D)9.488

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Multiple Choice

Q 34Q 34

Use the following to answer questions 30-34:
The table below lists the observed frequencies for all four categories for an experiment.
-The null hypothesis for the goodness-of-fit test is that the proportion of all elements of the population that belong to each of the five categories is the same.What is the value of the test statistic,rounded to three decimal places?

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Short Answer

Q 35Q 35

Use the following to answer questions 35-39:
You ask 100 persons what color of car they like the most.The table below lists the observed frequencies for such a survey.
-The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars,25% like blue cars,20% like red cars,10% like white cars,and 35% like other colors.What is the expected frequency for red cars?

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Short Answer

Q 36Q 36

Use the following to answer questions 35-39:
You ask 100 persons what color of car they like the most.The table below lists the observed frequencies for such a survey.
-The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars,25% like blue cars,20% like red cars,10% like white cars,and 35% like other colors.The expected frequencies for the various colors are:

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Essay

Q 37Q 37

Use the following to answer questions 35-39:
You ask 100 persons what color of car they like the most.The table below lists the observed frequencies for such a survey.
-The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars,25% like blue cars,20% like red cars,10% like white cars,and 35% like other colors.What are the degrees of freedom for this test?

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Short Answer

Q 38Q 38

Use the following to answer questions 35-39:
You ask 100 persons what color of car they like the most.The table below lists the observed frequencies for such a survey.
-The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars,25% like blue cars,20% like red cars,10% like white cars,and 35% like other colors.The significance level is 2.5%.What is the critical value of chi-square?
A)9.488
B)11.143
C)12.833
D)11.070

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Multiple Choice

Q 39Q 39

Use the following to answer questions 35-39:
You ask 100 persons what color of car they like the most.The table below lists the observed frequencies for such a survey.
-The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars,25% like blue cars,20% like red cars,10% like white cars,and 35% like other colors.What is the value of the test statistic,rounded to three decimal places?

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Short Answer

Q 40Q 40

Use the following to answer questions 40-44:
The table below lists the number of crimes reported at a police station on each day of the week for the past three months.
-The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week.What is the expected number of crimes reported on a Thursday?

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Short Answer

Q 41Q 41

Use the following to answer questions 40-44:
The table below lists the number of crimes reported at a police station on each day of the week for the past three months.
-The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week.The expected frequencies for each of the seven days are:

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Essay

Q 42Q 42

Use the following to answer questions 40-44:
The table below lists the number of crimes reported at a police station on each day of the week for the past three months.
-The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week.What are the degrees of freedom for this test?

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Short Answer

Q 43Q 43

Use the following to answer questions 40-44:
The table below lists the number of crimes reported at a police station on each day of the week for the past three months.
-The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week.The significance level is 10%.What is the critical value of chi-square?
A)12.017
B)14.067
C)10.645
D)12.592

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Multiple Choice

Q 44Q 44

Use the following to answer questions 40-44:
The table below lists the number of crimes reported at a police station on each day of the week for the past three months.
-The null hypothesis for the goodness-of-fit test is that the number of crimes reported at this police station is the same for each day of the week.What is the value of the test statistic?

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Short Answer

Q 45Q 45

For a chi-square test of independence,what are the degrees of freedom?
A)sample size minus one
B)sample size minus two
C)(R-1)(C-1)where R is the number of rows and C is the number of columns in the contingency table
D)(n-1)(k-1)where n is the sample size and k is the number of categories

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Multiple Choice

Q 46Q 46

For a chi-square test of homogeneity,what are the degrees of freedom?
A)sample size minus one
B)sample size minus two
C)(R-1)(C-1)where R is the number of rows and C is the number of columns in the contingency table
D)(n-1)(k-1)where n is the sample size and k is the number of categories

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Multiple Choice

Q 47Q 47

A chi-square test of independence:
A)is always a right-tailed test
B)is always a left-tailed test
C)is always a two-tailed test
D)can be a right-tailed,a left-tailed,or a two-tailed test

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Multiple Choice

Q 48Q 48

A chi-square test of homogeneity:
A)is always a right-tailed test
B)is always a left-tailed test
C)is always a two-tailed test
D)can be a right-tailed,a left-tailed,or a two-tailed test

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Multiple Choice

Q 49Q 49

A chi-square test of independence is about the independence of:
A)two means
B)two proportions
C)two characteristics presented in a contingency table
D)means of several populations

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Multiple Choice

Q 50Q 50

A chi-square test of homogeneity is about:
A)testing the null hypothesis that two samples are homogeneous
B)testing the null hypothesis that two proportions are homogeneous
C)the independence of two characteristics presented in a contingency table
D)testing the null hypothesis that the proportions of elements with certain characteristics in two or more different populations are the same

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Multiple Choice

Q 51Q 51

For a chi-square test of independence,a contingency table with 2 rows and 2 columns has how many degrees of freedom?

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Short Answer

Q 52Q 52

For a chi-square test of independence,a contingency table with 7 rows and 8 columns has how many degrees of freedom?

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Short Answer

Q 53Q 53

For a chi-square test of homogeneity,a contingency table with 5 rows and 6 columns has how many degrees of freedom?

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Short Answer

Q 54Q 54

For a chi-square test of homogeneity,a contingency table with 7 rows and 9 columns has how many degrees of freedom?

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Short Answer

Q 55Q 55

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-For a chi-square test of independence for this contingency table,what is the number of degrees of freedom?

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Short Answer

Q 56Q 56

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-For a chi-square test of independence for this contingency table,what are the observed frequencies for the first row?

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Short Answer

Q 57Q 57

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-For a chi-square test of independence for this contingency table,what are the expected frequencies for the first row,rounded to two decimal places?

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Short Answer

Q 58Q 58

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-For a chi-square test of independence for this contingency table,what are the observed frequencies for the second column?

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Short Answer

Q 59Q 59

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-For a chi-square test of independence for this contingency table,what are the expected frequencies for the second column,rounded to two decimal places?

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Short Answer

Q 60Q 60

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-To perform a chi-square test of independence for this contingency table at the 1% significance level,what is the critical value of chi-square?
A)7.879
B)6.635
C)10.597
D)9.210

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Multiple Choice

Q 61Q 61

Use the following to answer questions 55-61:
You observe 100 randomly selected college students to find out whether they arrive on time or late for their classes.The table below gives a two-way classification for these students.
-To perform a chi-square test of independence for this contingency table,what is the value of the chi-square test statistic (rounded to three decimal places)?

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Short Answer

Q 62Q 62

Use the following to answer questions 62-68:
You ask 600 randomly selected working adults whether or not they are satisfied with their jobs.The table below gives a two-way classification for these adults.
-For a chi-square test of independence for this contingency table,what is the number of degrees of freedom?

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Short Answer

Q 63Q 63

Use the following to answer questions 62-68:
You ask 600 randomly selected working adults whether or not they are satisfied with their jobs.The table below gives a two-way classification for these adults.
-For a chi-square test of independence for this contingency table,what are the observed frequencies for the second row?

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Short Answer

Q 64Q 64

Use the following to answer questions 62-68:
You ask 600 randomly selected working adults whether or not they are satisfied with their jobs.The table below gives a two-way classification for these adults.
-For a chi-square test of independence for this contingency table,what are the expected frequencies for the second row,rounded to two decimal places?

Free

Short Answer

Q 65Q 65

Use the following to answer questions 62-68:
You ask 600 randomly selected working adults whether or not they are satisfied with their jobs.The table below gives a two-way classification for these adults.
-For a chi-square test of independence for this contingency table,what are the observed frequencies for the first column?

Free

Short Answer

Q 66Q 66

Use the following to answer questions 62-68:
You ask 600 randomly selected working adults whether or not they are satisfied with their jobs.The table below gives a two-way classification for these adults.
-For a chi-square test of independence for this contingency table,what are the expected frequencies for the first column,rounded to two decimal places?

Free

Short Answer

Q 67Q 67

To perform a chi-square test of independence for this contingency table at the 5% significance level,what is the critical value of chi-square?
A)5.991
B)7.378
C)3.841
D)5.024

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Multiple Choice

Q 68Q 68

To perform a chi-square test of independence for this contingency table,what is the value of the chi-square test statistic (rounded to three decimal places)?

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Short Answer

Q 69Q 69

Use the following to answer questions 69-75:
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II.The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.
-For a chi-square test of homogeneity for this contingency table,what is the number of degrees of freedom?

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Short Answer

Q 70Q 70

Use the following to answer questions 69-75:
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II.The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.
-For a chi-square test of homogeneity for this contingency table,what are the observed frequencies for the first row?

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Short Answer

Q 71Q 71

Use the following to answer questions 69-75:
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II.The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.
-For a chi-square test of homogeneity for this contingency table,what are the expected frequencies for the first row,rounded to two decimal places?

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Short Answer

Q 72Q 72

Use the following to answer questions 69-75:
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II.The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.
-For a chi-square test of homogeneity for this contingency table,what are the observed frequencies for the second column?

Free

Short Answer

Q 73Q 73

Use the following to answer questions 69-75:
A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug I and 80 patients received Drug II.The following table gives the information about the numbers of patients cured and those not cured by each of these two drugs.
-For a chi-square test of homogeneity for this contingency table,what are the expected frequencies for the second column,rounded to two decimal places?

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Short Answer

Q 74Q 74

To perform a chi-square test of homogeneity for this contingency table at the 10% significance level,what is the critical value of chi-square?
A)5.991
B)4.605
C)3.841
D)2.706

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Multiple Choice

Q 75Q 75

To perform a chi-square test of homogeneity for this contingency table,what is the value of the chi-square test statistic (rounded to three decimal places)?

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Short Answer

Q 76Q 76

Use the following to answer questions 76-77:
A random sample of 25 elements selected from a population produced a variance equal to 3.937.Assume that the population is normally distributed.
-Based on this sample,the 95% confidence interval for the population variance,rounded to three decimal places,is:

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Essay

Q 77Q 77

Use the following to answer questions 76-77:
A random sample of 25 elements selected from a population produced a variance equal to 3.937.Assume that the population is normally distributed.
-Based on this sample,the 95% confidence interval for the population standard deviation,rounded to three decimal places,is:

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Essay

Q 78Q 78

Use the following to answer questions 78-79:
A random sample of 16 elements selected from a population produced a variance equal to 7.954.Assume that the population is normally distributed.
-Based on this sample,the 99% confidence interval for the population variance,rounded to three decimal places,is:

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Essay

Q 79Q 79

Use the following to answer questions 78-79:
A random sample of 16 elements selected from a population produced a variance equal to 7.954.Assume that the population is normally distributed.
-Based on this sample,the 99% confidence interval for the population standard deviation,rounded to three decimal places,is:

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Essay

Q 80Q 80

Use the following to answer questions 80-81:
A random sample of 20 elements selected from a population produced a variance equal to 11.072.Assume that the population is normally distributed.
-Based on this sample,the 90% confidence interval for the population variance,rounded to three decimal places,is:

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Essay

Q 81Q 81

Use the following to answer questions 80-81:
A random sample of 20 elements selected from a population produced a variance equal to 11.072.Assume that the population is normally distributed.
-Based on this sample,the 90% confidence interval for the population standard deviation,rounded to three decimal places,is:

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Essay

Q 82Q 82

Use the following to answer questions 82-83:
A random sample of 29 workers selected from a large company produced a variance of their weekly earnings equal to 8124.Assume that the population is normally distributed.
-Based on this sample,the 95% confidence interval for the variance of the weekly earnings of all of this company's employees,rounded to three decimal places,is:

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Essay

Q 83Q 83

Use the following to answer questions 82-83:
A random sample of 29 workers selected from a large company produced a variance of their weekly earnings equal to 8124.Assume that the population is normally distributed.
-Based on this sample,the 95% confidence interval for the standard deviation of the weekly earnings of all of this company's employees,rounded to the nearest cent,is:

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Essay

Q 84Q 84

Use the following to answer questions 84-85:
A random sample of 25 elements selected from a population produced a variance equal to 4.959.The null hypothesis is that the population variance is less than or equal to 3.90 and the alternative hypothesis is that the population variance is greater than 3.90.Assume that the population is normally distributed.The significance level is 1%.
-The critical value of chi-square is:
A)42.980
B)45.559
C)41.638
D)44.181

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Multiple Choice

Q 85Q 85

Use the following to answer questions 84-85:
A random sample of 25 elements selected from a population produced a variance equal to 4.959.The null hypothesis is that the population variance is less than or equal to 3.90 and the alternative hypothesis is that the population variance is greater than 3.90.Assume that the population is normally distributed.The significance level is 1%.
-The value of the chi-square test statistic is,rounded to three decimal places:

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Short Answer

Q 86Q 86

Use the following to answer questions 86-87:
A random sample of 20 elements selected from a population produced a variance equal to 9.606.The null hypothesis is that the population variance is equal to 10.05 and the alternative hypothesis is that the population variance is not equal to 10.05.Assume that the population is normally distributed.The significance level is 5%.
-The critical values of chi-square are:
A)10.117 and 30.144
B)8.231 and 31.526
C)7.633 and 36.191
D)8.907 and 32.852

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Multiple Choice

Q 87Q 87

Use the following to answer questions 86-87:
A random sample of 20 elements selected from a population produced a variance equal to 9.606.The null hypothesis is that the population variance is equal to 10.05 and the alternative hypothesis is that the population variance is not equal to 10.05.Assume that the population is normally distributed.The significance level is 5%.
-The value of the chi-square test statistic is,rounded to three decimal places:

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Short Answer

Q 88Q 88

Use the following to answer questions 88-89:
A random sample of 28 elements selected from a population produced a variance equal to 16.682.The null hypothesis is that the population variance is greater than or equal to 18.70 and the alternative hypothesis is that the population variance is less than 18.70.Assume that the population is normally distributed.The significance level is 2.5%.
-The critical value of chi-square is:
A)14.573
B)43.195
C)41.923
D)13.844

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Multiple Choice

Q 89Q 89

Use the following to answer questions 88-89:
A random sample of 28 elements selected from a population produced a variance equal to 16.682.The null hypothesis is that the population variance is greater than or equal to 18.70 and the alternative hypothesis is that the population variance is less than 18.70.Assume that the population is normally distributed.The significance level is 2.5%.
-The value of the chi-square test statistic is,rounded to three decimal places:

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Short Answer

Q 90Q 90

Use the following to answer questions 90-91:
The variance of the prices of all college textbooks was 81.30 last year.A recent sample of 20 college textbooks produced a variance of their prices equal to 164.649.The null hypothesis is that the current variance of the prices of all college textbooks is equal to 81.30 and the alternative hypothesis is that the current variance of the prices of all college textbooks is greater than 81.30.Assume that the prices of college textbooks are normally distributed.The significance level is 1%.
-The critical value of chi-square is:
A)36.191
B)38.582
C)39.997
D)37.566

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Multiple Choice

Q 91Q 91

Use the following to answer questions 90-91:
The variance of the prices of all college textbooks was 81.30 last year.A recent sample of 20 college textbooks produced a variance of their prices equal to 164.649.The null hypothesis is that the current variance of the prices of all college textbooks is equal to 81.30 and the alternative hypothesis is that the current variance of the prices of all college textbooks is greater than 81.30.Assume that the prices of college textbooks are normally distributed.The significance level is 1%.
-The value of the chi-square test statistic is,rounded to three decimal places:

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Q 92Q 92

Use the following to answer questions 92-93:
A researcher claims that the variance of the heights of all female college basketball players is 4.80 square inches.A random sample of 28 female college basketball players produced a variance of their heights equal to 11.122 square inches.The null hypothesis is that the variance of the heights of all female college basketball players is equal to 4.80 square inches and the alternative hypothesis is that the variance of the heights of all female college basketball players is not equal to 4.80.Assume that the population is normally distributed.The significance level is 5%.
-The critical values of chi-square are:
A)13.844 and 41.923
B)14.573 and 43.195
C)15.308 and 44.461
D)12.879 and 40.113

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Q 94Q 94

Jean,an expert on dental hygiene,hypothesizes that the dental hygiene of students at the Westwood Elementary School is similar to that of students at Easton Elementary.In order to test her hypothesis,she collects information about children at each school from dentists in the area,recording the number of cavities that each child has had in the past year.Her findings appear in the following table.
The null hypothesis is that the proportions of students with no cavities,one cavity,two cavities,and three or more cavities are relatively the same between schools.What is the value of the test statistic,rounded to three decimal places,that Jean will use?

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