Deck 8: Hypothesis Testing

Question 1

In a(n) test, the null hypothesis should be rejected when the test
value is in either of the two critical regions.

Answer 1

two-tailed

Question 2

Answer 2

C

Question 3

Answer 3

A

Question 4

A) No, there is no parameter contained in this statement.
B) Yes, this is a statement that compares two parameters.
C) No, equalities are not permitted in a null hypothesis.
D) Yes, this is a statement that compares a parameter to a value.

Question 5

Question 6

Question 7

The null hypothesis states that there is no difference between a parameter and a specific
value, or that there is no difference between two parameters.

Question 8

The numerical value obtained from a statistical test is called the
.

Question 9

Question 10

Sandra Johnson, a researcher, believes her pulse rate will decrease with exercise. Her
alternative hypothesis would contain an equal sign.

Question 11

Question 12

A) No, equalities are not permitted in a null hypothesis.
B) Yes, this is a statement that compares a parameter to a value.
C) Yes, this is a statement that compares two parameters.
D) No, there is no parameter contained in this statement.

Question 13

A) No, there are no parameters contained in these statements.
B) Yes, these statements are two non-overlapping hypotheses and compare a parameter to a value.
C) No, the alternative hypothesis cannot contain numeric values.
D) Yes, these statements are two non-overlapping hypotheses and compare two parameters.

Question 14

Question 15

If the null hypothesis is not rejected when it is false, a type II error has occurred.

Question 16

Question 17

A) left-tailed
B) right-tailed
C) two-tailed

Question 18

Question 19

A) No, equalities are not permitted in a null hypothesis.
B) Yes, this is a statement that compares two parameters.
C) Yes, this is a statement that compares a parameter to a value.
D) No, there is no parameter contained in this statement.

Question 20

Question 21

In performing a hypothesis test, one should decide whether to reject or not reject the null
hypothesis before summarizing the results.

Question 22

A new organic pest control formula is being tested on potato plants to see whether it can reduce the level of potato beetle infestation. The mean number of beetles per untreated
Plant is 7. It is hoped that the new formula may reduce this infestation rate. State the
Appropriate null and alternate hypotheses.

Question 23

A) 1.60
B) 0.80
C) 0.62
D) 1.23

Question 24

A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?

Question 25

Question 26

Question 27

is not rejected. State the appropriate conclusion.

A) The mean weight is not equal to 46 ounces.
B) The mean weight is equal to 46 ounces.
C) There is not enough evidence to conclude that the mean weight is 46 ounces.
D) There is not enough evidence to conclude that the mean weight differs from 46 ounces.

Question 28

A) The mean weight is equal to 42 ounces.
B) There is not enough evidence to conclude that the mean weight differs from 42 ounces.
C) There is not enough evidence to conclude that the mean weight is 42 ounces.
D) The mean weight is not equal to 42 ounces.

Question 29

A) -2.05
B) 2.33
C) -2.33
D) 2.05

Question 30

Question 31

For the conjecture "The average rent of an apartment is more than $950 per month," the alternative hypothesis is:

A) We reject the hypothesis that the average rent of an apartment is more than $950 month.
B) The average rent of an apartment is less than or equal to $950 per month.
C) The average rent of an apartment is greater than $950 per month.
D) We accept the hypothesis that the average rent of an apartment is more than $950 per month.

Question 32

A) There is not enough evidence to conclude that the mean checkout price is less than or equal to $56.
B) The mean checkout amount is less than or equal to $56.
C) The mean checkout amount is greater than $56.
D) There is not enough evidence to conclude that the mean checkout price is greater than $56.

Question 33

Question 34

A sample of 60 chewable vitamin tablets have a sample mean of 227 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the
Evidence is that the mean mass of vitamin C per tablet exceeds 230 milligrams. State the
Appropriate null and alternate hypotheses.

Question 35

For the conjecture "The average age of students in this class is 22", the null hypothesis is:

A) The average age of students in this class is not 22.
B) We reject the hypothesis that the average age of students in this class is 22.
C) The average age of students in this class is 22.
D) We accept the hypothesis that the average age of students in this class is 22.

Question 36

Stating the hypothesis should be the first step used in hypothesis testing.

Question 37

A) 0.35
B) 1.81
C) 2.43
D) 0.70

Question 38

A sample of 85 chewable vitamin tablets have a sample mean of 272 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the
Evidence is that the mean mass of vitamin C per tablet differs from 270 milligrams. State
The appropriate null and alternate hypotheses.

Question 39

For the conjecture "The average weight of a cuckoo bird is less than 1.6 pounds", the null and alternative hypotheses are:

Question 40

A) -1.22
B) -1.09
C) -2.17
D) -2.43

Question 41

A) It cannot be determined.
B) No
C) Yes

Question 42

Question 43

A) 1.59
B) 0.04
C) 0.62
D) 0.31

Question 44

A) 1.94
B) 1.49
C) 0.24
D) 0.93

Question 45

ns.

A) No. There is insufficient evidence to conclude that the mercury concentration has decreased from 1980 to 2012.
B) Yes. The mercury concentration appears to be lower in 2012.
C) There is not enough information to reach a conclusion.

Question 46

Question 47

s

Question 48

s

Question 49

Question 50

A) 1.20
B) 0.17
C) 2.94
D) 0.18

Question 51

A) -2.33
B) -1.26
C) 1.26
D) 2.33

Question 52

Question 53

Question 54

A) No
B) Yes
C) It cannot be determined.

Question 55

A) 5.59
B) 0.89
C) 1.22
D) 0.14

Question 56

A) The mean checkout amount is greater than $73.
B) The mean checkout amount is less than or equal to $73.
C) There is not enough evidence to conclude that the mean checkout price is less than or equal to $73.
D) There is not enough evidence to conclude that the mean checkout price is greater than $73.

Question 57

Question 58

Question 59

Question 60

Question 61

A) -1.5
B) 1.65
C) 1.5
D) 1.96

Question 62

Alyson Silvastein, a scientist, reports that the average number of hours a person can go
without sleep and still function normally is 29 with a standard deviation of five hours. A
sample of 49 people had an average of 31 hours that they could go without sleep and still
function normally. The test value for this hypothesis would be 2.8.

Question 63

At a certain university, the average cost of books was $370 per student last semester and the population standard deviation was $80. This semester a sample of 45 students
Revealed an average cost of books of $390 per student. The Dean of Students believes
That the costs are greater this semester. What is the test value for this hypothesis?

A) 0.44
B) 0.25
C) 11.25
D) 1.68

Question 64

Question 65

The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for
Sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home
Owners Association is interested in knowing if the costs of homes for sale in this
Subdivision are actually lower than claimed? What is the p-value for this left-tailed test?

A) 0.1327
B) 0.0951
C) 0.0036
D) 0.0853

Question 66

An average department store sells 150 men's suits per year. The men's suit departments at a particular national chain of stores claim they sell more than the industry average. In
45 of their stores, they sold, on the average, 250 suits per year with a population standard
Deviation of 30. What is the test value for their claim?

A) 3.33
B) 12.85
C) 0.50
D) 22.36

Question 67

A) Yes, because the test value -4.33 falls in the noncritical region.
B) No, because the test value -2.47 falls in the noncritical region.
C) No, because the test value -2.47 falls in the critical region.
D) Yes, because the test value -4.33 falls in the critical region.

Question 68

A) Yes, because the test value 0.04 falls in the noncritical region.
B) No, because the test value 0.40 falls in the critical region.
C) No, because the test value 0.04 falls in the critical region.
D) Yes, because the test value 2.02 falls in the critical region.

Question 69

Question 70

A) Yes
B) It cannot be determined.
C) No

Question 71

A recent survey indicated that the average amount spent for breakfast by business managers was $7.58 with a standard deviation of $0.42. It was felt that breakfasts on the
West Coast were higher than $7.58. A sample of 81 business managers on the West
Coast had an average breakfast cost of $7.65. Find the P-value for the test.

A) 0.0668
B) 0.1325
C) 0.2734
D) 0.4332

Question 72

Question 73

Question 74

In a particular city, the average annual salary for secretaries is $28,000. A sample of secretaries from Company A shows an average annual salary of $24,500 with a
Population standard deviation of $4500. Secretaries at Company A claim they are paid
Less than the city average. What is the test value for this claim?

A) 5.50
B) -5.50
C) -0.78
D) 0.78

Question 75

The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for
Sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home
Owners Association is interested in knowing if the costs of homes for sale in this
Subdivision are actually lower than claimed? Compute the test value.

A) 1.31
B) 1.52
C) -1.31
D) -1.52

Question 76

A) Do not reject
B) Reject

Question 77

Question 78

43 62 56 32 36
116 27 9 47 111
115 96 27 55 79
59 63 43 36 44
102 54 32 64 93
78 8 105 110 84
124 125 104 104 87
a. State the hypotheses and identify the claim.
b. Find the critical values.
c. Compute the test statistic.
d. Make a decision.
e. Summarize the results.

Question 79

Nationwide, the average waiting time until a electric utility customer service representative answers a call is 310 seconds. The Gigantic Kilowatt Energy Company
Randomly sampled 40 calls and found that, on average, they were answered in 287
Seconds with a population standard deviation of 30 seconds. Can the company claim that
They are faster than the average utility at  = 0.05?

A) Yes, because the test value -0.12 falls in the critical region.
B) Yes, because the test value -4.85 falls in the critical region.
C) No, because the test value -0.12 falls in the critical region.
D) No, because the test value -0.77 falls in the critical region.

Question 80

A) Do not reject
B) Reject