Two accounting professors want to validate that variation in grading procedures

Question

Two accounting professors want to validate that variation in grading procedures of professor 1 and professor 2 is significantly different. To accomplish this they each graded the same 10 exams What is H_1? A. sigma^2 1 = sigma^2 2 B. sigma^2 1 notequalto sigma^2 2 A. sigma^2 1 > sigma^2 2 A. mu_1 notequalto mu_2 E. None of the above What is the critical value of F at the 0.05 level of significance? A. 5.85 B. 3.72 C. 3.18 D. 4.03 E. 2.98 The calculated F ratio is A. 3.484 B. 1.867 C. 4.03 D. 3.18 E. None of the above At the 2% level of significance, what is the decision? A. Reject the null hypothesis and conclude the variances are 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 the above

Explanation / Answer

1>

here the problem is to test whether the variation in the grading procedure is significantly different or not so the corect option will be option C

2>

here no of exams =10 for both the professors

Critical values:Critical values: F(.05,9,9)=3.18

i.e option C

3>

the calculated F ratio is the ratio of the two sample variances

here F=(22.4)^2/(12)^2=3.48

so option A is correct

4>

at 2% level of significance the i.e at alpha=0.02 the critical value of F will be 4.32548

we could reject Ho if F(calculated)>F(critical value)

but here the above condition is not satisfied hence we fail to reject H0 and concilude that variances are same

hence option C is true

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.