Question

Exhibit 5
An Upper Tail Test about two population variances has been formulated as follows:
                                                      H0:   σ12 ≤ σ22
                                                     Ha:    σ12 > σ22
A sample of size n1=26 from population 1 provides a sample standard deviation of S1 = 3; and a sample of size n2=16 from population 2 provides a sample standard deviation of  S2 = 2. Assume that both populations are normal.

a.Refer to Exhibit 5. What are the numerator and denominator degrees of freedom for the F distribution?

A. 26 and 16
B. 25 and 15
C. 20 and 25
D. 17 and 27

b.Refer to Exhibit 5. Given α = 0.10, what is the critical value of the test statistic (from F chart or using MS Excel)?

A. 1.77
B. 1.68
C. 1.89
D. 2.92

c. Refer to Exhibit 5. What is the computed value of the test statistic, F?

A. 0.67
B. 2.25
C. 1.50
D. 6.0

d. Refer to Exhibit 5. Given α = 0.10, the conclusion is to reject H0. (True or False)

True
False

Answer 1

Solution-

Given data,

n1= 26, S1= 3

And n2= 16 , S2= 2