Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results:   Mean Grade Standard Deviation Professor 1 79.3 22.4 Professor 2 82.1 12.0 a) What is the null hypothesis? What is the alternate hypothesis? b) What are the degrees of freedom for the numerator of the F ratio? c) What are the degrees of freedom for the denominator of the F ratio? d) What is the critical value of F at the 0.02 level of significance? e) What is the critical value of F at the 0.1 level of significance? f) The calculated F ratio is ________. g) At the 2% level of significance, what is the decision? h) At the 10% level of significance, what is the decision regarding the null hypothesis?

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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results:

 

Mean Grade

Standard Deviation

Professor 1

79.3

22.4

Professor 2

82.1

12.0

a) What is the null hypothesis? What is the alternate hypothesis?

b) What are the degrees of freedom for the numerator of the F ratio?

c) What are the degrees of freedom for the denominator of the F ratio?

d) What is the critical value of F at the 0.02 level of significance?

e) What is the critical value of F at the 0.1 level of significance?

f) The calculated F ratio is ________.

g) At the 2% level of significance, what is the decision?

h) At the 10% level of significance, what is the decision regarding the null hypothesis?

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