Question 1

The required condition for using an ANOVA procedure on data from several populations is that the
A)the selected samples are dependent on each other
B)sampled populations are all uniform
C)sampled populations have equal variances
D)sampled populations have equal means

Accepted Answer

The required condition for using an ANOVA procedure on data from several populations is that the sampled populations have equal variances. This is necessary to assume equality of variance in each population, which is a key assumption for ANOVA.

Question 2

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. The point estimate of the difference between the means of the two populations is
A)-28
B)3
C)4
D)5

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 3

The critical F value with 8 numerator and 29 denominator degrees of freedom at$\alpha$ = 0.01 is
A)2.28
B)3.20
C)3.33
D)3.64

Accepted Answer

The answer of The critical F value with 8 numerator...

Question 4

A term that means the same as the term "variable" in an ANOVA procedure is
A)factor
B)treatment
C)replication
D)variance within

Accepted Answer

In an ANOVA procedure, a factor is a variable that is being used to analyze the differences between different groups or levels. This is the same concept as a variable, which is something that can vary and has a different value or attribute for each individual or group being studied. Therefore, choice A (factor) is the best choice as it is the term that has the same meaning as "variable" in an ANOVA procedure.

Question 5

In a completely randomized design involving three treatments, the following information is provided:  The overall mean for all the treatments is
A)7.00
B)6.67
C)7.25
D)4.89

Accepted Answer

The answer of In a completely randomized design involving three...

Question 6

An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are
A)3 and 30
B)4 and 30
C)3 and 119
D)3 and 116

Accepted Answer

The answer of An ANOVA procedure is used for data...

Question 7

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. At 95% confidence, the margin of error is
A)1.96
B)1.645
C)3.920
D)2.000

Accepted Answer

The margin of error can be calculated using the formula:
Margin of error = z* (standard deviation / square root of sample size)
Where z is the critical value for the desired level of confidence. At 95% confidence, the critical value is 1.96. 
Using this formula and the given data in Exhibit 10-1, the margin of error is:
Margin of error = 1.96 * (2.82 / square root of 1000) = 3.92 (rounded to the nearest hundredth)
Therefore, the best choice is C: 3.920.

Question 8

In an analysis of variance, one estimate of $\sigma$² is based upon the differences between the treatment means and the A)means of each sample B)overall sample mean C)sum of observations D)populations have equal means

Accepted Answer

The estimate of F statistic in ANOVA is based on the differences between the treatment means and the overall sample mean. This is because the goal of ANOVA is to compare the variation in the data between the groups (treatments) to the variation within the groups. The treatment means are compared to the overall sample mean to estimate the extent to which the treatment means differ from what would be expected by chance alone. Therefore, option B, which refers to the overall sample mean, is the correct choice.

Question 9

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is
A)2.0
B)1.5
C)1.96
D)1.645

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 10

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. The p-value is
A)0.0668
B)0.0334
C)1.336
D)1.96

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 11

In a completely randomized design involving four treatments, the following information is provided.  The overall mean (the grand mean) for all treatments is
A)40.0
B)37.3
C)48.0
D)37.0

Accepted Answer

The overall mean for all treatments can be calculated by taking the mean of all the individual treatment means. However, the individual treatment means are not given in the information provided. Therefore, we cannot calculate the overall mean with certainty. However, we can make an educated guess based on the given answer choices. As the answer choices are all numerical values, we can eliminate choice C (48.0) as it is significantly different from the other values. We can also eliminate choice D (37.0) as it is the same as one of the individual treatment means, which is unlikely to be the overall mean. This leaves us with choices A (40.0) and B (37.3). As choice B is closer to the three other individual treatment means (which are not provided), it is the best choice for the overall mean.

Question 12

In an analysis of variance problem if SST = 120 and SSTR= 80, then SSE is
A)200
B)40
C)80
D)120

Accepted Answer

Since SST = SSTR + SSE, we can plug in the given values to get:
120 = 80 + SSE
Solving for SSE, we get:
SSE = 40

Question 13

In ANOVA, which of the following is not affected by whether or not the population means are equal? A) B)between-samples estimate of $\sigma$² C)within-samples estimate of $\sigma$² D)None of these alternatives is correct.

Accepted Answer

The answer of In ANOVA, which of the following is...

Question 14

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are
A)3 and 20
B)3 and 16
C)4 and 17
D)3 and 19

Accepted Answer

The answer of An ANOVA procedure is used for data...

Question 15

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is
A)0 to 6.92
B)-2 to 2
C)-1.96 to 1.96
D)-0.92 to 6.92

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 16

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. At 95% confidence, the conclusion is the
A)average salary of males is significantly greater than females
B)average salary of males is significantly lower than females
C)salaries of males and females are equal
D)None of these alternatives is correct.

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 17

In order to determine whether or not the means of two populations are equal,
A)a t test must be performed
B)an analysis of variance must be performed
C)either a t test or an analysis of variance can be performed
D)a chi-square test must be performed

Accepted Answer

The answer of In order to determine whether or not...

Question 18

Which of the following is not a required assumption for the analysis of variance?
A)The random variable of interest for each population has a normal probability distribution.
B)The variance associated with the random variable must be the same for each population.
C)At least 2 populations are under consideration.
D)Populations have equal means.

Accepted Answer

The assumption of equal means is not required for the analysis of variance. In fact, we use ANOVA to test whether there is a significant difference in means among the populations being compared. The other assumptions listed (normality, equal variances, and multiple populations) are required for ANOVA.

Question 19

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
 
-Refer to Exhibit 10-1. The standard error for the difference between the two means is
A)4
B)7.46
C)4.24
D)2.0

Accepted Answer

The answer of Exhibit 10-1
Salary information regarding male and female...

Question 20

An ANOVA procedure is used for data obtained from five populations. Five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are
A)5 and 20
B)4 and 20
C)4 and 99
D)4 and 95

Accepted Answer

The answer of An ANOVA procedure is used for data...

Quiz 10: Comparisons Involving Means, Experimental Design, and Analysis of Variance

The required condition for using an ANOVA procedure on data from several populations is that the

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The point estimate of the difference between the means of the two populations is

The critical F value with 8 numerator and 29 denominator degrees of freedom at $\alpha$ = 0.01 is

A term that means the same as the term "variable" in an ANOVA procedure is

In a completely randomized design involving three treatments, the following information is provided: The overall mean for all the treatments is

An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. At 95% confidence, the margin of error is

In an analysis of variance, one estimate of $\sigma$ ² is based upon the differences between the treatment means and the

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The p-value is

In a completely randomized design involving four treatments, the following information is provided. The overall mean (the grand mean) for all treatments is

In an analysis of variance problem if SST = 120 and SSTR= 80, then SSE is

In ANOVA, which of the following is not affected by whether or not the population means are equal?

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. At 95% confidence, the conclusion is the

In order to determine whether or not the means of two populations are equal,

Which of the following is not a required assumption for the analysis of variance?

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The standard error for the difference between the two means is

An ANOVA procedure is used for data obtained from five populations. Five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

Quiz 10: Comparisons Involving Means, Experimental Design, and Analysis of Variance

The required condition for using an ANOVA procedure on data from several populations is that the

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The point estimate of the difference between the means of the two populations is

The critical F value with 8 numerator and 29 denominator degrees of freedom at α\alphaα = 0.01 is

A term that means the same as the term "variable" in an ANOVA procedure is

In a completely randomized design involving three treatments, the following information is provided: The overall mean for all the treatments is

An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. At 95% confidence, the margin of error is

In an analysis of variance, one estimate of σ\sigmaσ 2 is based upon the differences between the treatment means and the

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The p-value is

In a completely randomized design involving four treatments, the following information is provided. The overall mean (the grand mean) for all treatments is

In an analysis of variance problem if SST = 120 and SSTR= 80, then SSE is

In ANOVA, which of the following is not affected by whether or not the population means are equal?

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. At 95% confidence, the conclusion is the

In order to determine whether or not the means of two populations are equal,

Which of the following is not a required assumption for the analysis of variance?

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The standard error for the difference between the two means is

An ANOVA procedure is used for data obtained from five populations. Five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

The critical F value with 8 numerator and 29 denominator degrees of freedom at $\alpha$ = 0.01 is

In an analysis of variance, one estimate of $\sigma$ ² is based upon the differences between the treatment means and the