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) = 3.00 Fcrit = Retain or reject the null hypothesis. Part (b) F(5, 17) = 2.61 Fcrit = retain or reject the null hypothesis Part (c) F(4, 36) = 2.70 Fcrit = retain or reject the null hypothesis Part (D) F(2, 10) = 3.98 Fcrit = retain or reject null hypothesis

Answer 1

(a)

Observed F(3, 27) = 3.00

Critical value: 2.96

The p-value is obtained as 0.048003

As the p-value is less than 0.05, we reject the null hypothesis at 5% level of significance.

(b)

Observed F(5, 17) = 2.61

Critical value: 2.81

The p-value is obtained as 0.062934

As the p-value is more than 0.05, we retain the null hypothesis at 5% level of significance.

(c)

Observed F(4, 36) = 2.70

Critical value: 2.63

The p-value is obtained as 0.04583

As the p-value is less than 0.05, we reject the null hypothesis at 5% level of significance.

(d)

Observed F(2,10) = 3.98

Critical value: 4.10

The p-value is obtained as 0.053514

As the p-value is more than 0.05, we retain the null hypothesis at 5% level of significance.

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