Question

# What is the decision at a 0.05 level of significance for each of the following tests?...

What is the decision at a 0.05 level of significance for each of the following tests? Hint: Find the critical value for each test; then make a decision. (Round your critical values to two decimal places.) Part (a) F(3, 25) = 3.03 Fcrit = Retain the null hypothesis. Reject the null hypothesis. Part (b) F(5, 22) = 2.47 Fcrit = Retain the null hypothesis. Reject the null hypothesis. Part (c) F(4, 35) = 2.71 Fcrit = Retain the null hypothesis. Reject the null hypothesis. Part (d) F(2, 11) = 3.90 Fcrit = Retain the null hypothesis. Reject the null hypothesis.

Solution :

a) F(3, 25) = 3.03

Significance level = 0.05

Fcrit = 2.99

Since, F > Fcrit, therefore we shall reject the null hypothesis.

b) F(5, 22) = 2.47

Significance level = 0.05

Fcrit = 2.66

Since, F < Fcrit, therefore we shall retain the null hypothesis.

c) F(4, 35) = 2.71

Significance level = 0.05

Fcrit = 2.64

Since, F < Fcrit, therefore we shall retain the null hypothesis.

d) F(2, 11) = 3.90

Significance level = 0.05

Fcrit = 3.98

Since, F < Fcrit, therefore we shall retain the null hypothesis.

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