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, 27) = 3.02

Fcrit =

Retain the null hypothesis.

Reject the null hypothesis.

Part (b) F(5, 21) = 2.48

Fcrit =

Retain the null hypothesis.

Reject the null hypothesis.

Part (c) F(2, 11) = 3.86

Fcrit =

Retain the null hypothesis.

Reject the null hypothesis.

Part (d) F(4, 31) = 2.72

Fcrit =

Retain the null hypothesis.

Reject the null hypothesis.

Explanation / Answer

Part (a) F(3, 27) = 3.02

Ans: Fcrit = 2.96

You should not reject the null if your critical f value is smaller than your F Value

Dont reject null.

Part (b) F(5, 21) = 2.48

Ans: Fcrit = 2.68

Reject null

Part (c) F(2, 11) = 3.86

Ans: Fcrit = 3.98

Reject null.

Part (d) F(4, 31) = 2.72

Ans: Fcrit = 2.68

Dont reject null

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