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Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results: Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results:   At the 1% level of significance, what is the decision? A)  Reject the null hypothesis and conclude the variance is different. B)  Fail to reject the null hypothesis and conclude the variance is different. C)  Reject the null hypothesis and conclude the variance is the same. D)  Fail to reject the null hypothesis and conclude the variance is the same. E)  None of these statements are true At the 1% level of significance, what is the decision?


A) Reject the null hypothesis and conclude the variance is different.
B) Fail to reject the null hypothesis and conclude the variance is different.
C) Reject the null hypothesis and conclude the variance is the same.
D) Fail to reject the null hypothesis and conclude the variance is the same.
E) None of these statements are true

Correct Answer

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i. If the computed value of F is 0.99 and the critical value is 3.89, we would not reject the null hypothesis. Ii) When comparing two population variances we use the F distribution. iii. A one way ANOVA is use to compare several treatment means.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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i. If the computed value of F is 4.01 and the critical value is 2.67, we would conclude that all the population means are equal. Ii) Not rejecting the null hypothesis in ANOVA indicates that the population means are equal. iii. The null hypothesis for an ANOVA is µ1 - µ2 = µ3


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results: Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results:   What is the critical value of F at the 0.05 level of significance? A)  5.85 B)  5.35 C)  3.18 D)  4.03 E)  None of these statements are true What is the critical value of F at the 0.05 level of significance?


A) 5.85
B) 5.35
C) 3.18
D) 4.03
E) None of these statements are true

Correct Answer

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i. One characteristic of the F distribution is that computed F can only range between -1 and +1. ii. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator. Iii) The F distribution's curve is positively skewed.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.   What are the degrees of freedom for the denominator? A)  3 B)  10 C)  27 D)  30 E)  None of these statements are true What are the degrees of freedom for the denominator?


A) 3
B) 10
C) 27
D) 30
E) None of these statements are true

Correct Answer

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i. The F distribution is positively skewed and its values may range from 0 to plus infinity. ii. The F distribution's curve is positively skewed. Iii) There is one, unique F distribution for a F-statistic with 29 degrees of freedom in the numerator and 28 degrees of freedom in the denominator.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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Which statement is correct about the F distribution?


A) Cannot be negative
B) Cannot be positive
C) Is the same as the t distribution
D) Is the same as the z distribution
E) None of these is correct

Correct Answer

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i. The rejection region for analysis of variance is in the upper tail of the F distribution ii. In ANOVA, k -1 degrees of freedom are associated with the numerator of the F ratio. Iii) In ANOVA, k-1 degrees of freedom are associated with the denominator of the F ratio.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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i. To employ ANOVA, the populations need not have equal standard deviations. ii. To employ ANOVA, the populations being studied need not be normally distributed. Iii) A technique that is efficient when simultaneously comparing more than two population means is known as analysis of deviation.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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In an effort to determine the most effective way to teach safety principles to a group of employees, four different methods were tried. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. Samples of five tests were selected from each group. The test grade results were: In an effort to determine the most effective way to teach safety principles to a group of employees, four different methods were tried. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. Samples of five tests were selected from each group. The test grade results were:   At the 0.01 level, what is the critical value? A)  1.00 B)  1.96 C)  3.24 D)  5.29 E)  None of these statements are true At the 0.01 level, what is the critical value?


A) 1.00
B) 1.96
C) 3.24
D) 5.29
E) None of these statements are true

Correct Answer

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i. The alternate hypothesis for ANOVA states that not all the means are equal. ii. Not rejecting the null hypothesis in ANOVA indicates that the population means are equal. iii. The null hypothesis for an ANOVA is µ1 - µ2 = µ3


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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ii. The calculated F value must be equal to or greater than zero (0) iii. The shape of the F distribution is symmetrical i. The test statistic used in ANOVA is F


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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Given the following Analysis of Variance table for three treatments each with six observations. Given the following Analysis of Variance table for three treatments each with six observations.   What is the computed value of F? A)  7.48 B)  7.84 C)  8.84 D)  8.48 E)  None of these statements are true What is the computed value of F?


A) 7.48
B) 7.84
C) 8.84
D) 8.48
E) None of these statements are true

Correct Answer

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Based on the comparison between the mean annual incomes for executives with Undergraduate and Master's Degree or more,


A) A confidence interval shows that the mean annual incomes are not significantly different.
B) The ANOVA results show that the mean annual incomes are significantly different.
C) A confidence interval shows that the mean annual incomes are significantly different.
D) The ANOVA results show that the mean annual incomes are not significantly different.

Correct Answer

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Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results: Two accounting professors decided to compare the variation of their grading procedures. To accomplish this they each graded the same 10 exams with the following results:   At the 5% level of significance, what is the decision? A)  Reject the null hypothesis and conclude the variance is different. B)  Fail to reject the null hypothesis and conclude no significant difference in the variance. C)  Reject the null hypothesis and conclude the variance is the same. D)  Fail to reject the null hypothesis and conclude the variance is the same. E)  None of these statements are true At the 5% level of significance, what is the decision?


A) Reject the null hypothesis and conclude the variance is different.
B) Fail to reject the null hypothesis and conclude no significant difference in the variance.
C) Reject the null hypothesis and conclude the variance is the same.
D) Fail to reject the null hypothesis and conclude the variance is the same.
E) None of these statements are true

Correct Answer

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A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes. The management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown below.   What is the critical value of F at the 1% level of significance? A)  99.46 B)  5.49 C)  5.39 D)  4.61 E)  None of these statements are true What is the critical value of F at the 1% level of significance?


A) 99.46
B) 5.49
C) 5.39
D) 4.61
E) None of these statements are true

Correct Answer

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i. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly. Ii) Not rejecting the null hypothesis in ANOVA indicates that the population means are equal. iii. The null hypothesis for an ANOVA is µ1 - µ2 = µ3


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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i. If we want to determine which treatment means differ, one method is confidence intervals. ii. If the confidence interval includes 0, there is no difference in the pair of treatment means. Iii) If both end points of a confidence interval are of the same sign, it indicates that the treatment means are not different.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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i. One characteristic of the F distribution is that computed F can only range between -1 and +1. ii. The F distribution's curve is positively skewed. Iii) Like Student's t distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.


A) (i) , (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) All statements are false

Correct Answer

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