What is the decision at a 0.05 level of significance for each of the following t

Question

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, 26) = 301 O Retain the null hypothesis O Reject the null hypothesis. Part (b) F(5. 15) 2.69 onit O Retain the null hypothesis. O Reject the null hypothesis. Part (c) F(4, 33)= 2.69 O Retain the null hypothesis O Reject the null hypothesis. Part (d) F(2, 13)= 3.73 onit O Retain the null hypothesis. O Reject the null hypothesis.

Explanation / Answer

Part a

The critical value of F at 0.05 level of significance for (2, 26) d.f is Fcrit = 2.98

The calculated F(3,26) = 3.01 > 2.98

So, reject the null hypothesis at 0.05 level of significance.

Part b

The critical value of F at 0.05 level of significance for (5, 15) d.f is Fcrit = 2.90

The calculated F(5,15) = 2.69 < 2.90

So, retain the null hypothesis at 0.05 level of significance.

Part c

The critical value of F at 0.05 level of significance for (4, 33) d.f is Fcrit = 2.65

The calculated F(4,33) = 2.69 > 2.65

So, reject the null hypothesis at 0.05 level of significance.

Part d

The critical value of F at 0.05 level of significance for (2, 13) d.f is Fcrit = 3.81

The calculated F(2,13) = 3.73 < 3.81

So, retain the null hypothesis at 0.05 level of significance.

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