Tobias Ali

2021-01-24

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

F(3, 26) = 3.00

Retain or reject the null hypothesis?

F(4, 55) = 2.54

Retain or reject the null hypothesis?

F(4, 30) = 2.72

Retain or reject the null hypothesis?

F(2, 12) = 3.81

Retain or reject the null hypothesis?

F(3, 26) = 3.00

Retain or reject the null hypothesis?

F(4, 55) = 2.54

Retain or reject the null hypothesis?

F(4, 30) = 2.72

Retain or reject the null hypothesis?

F(2, 12) = 3.81

Retain or reject the null hypothesis?

okomgcae

Skilled2021-01-25Added 93 answers

Step 1

From the provided information,

Level of significance $(\alpha )=0.05$

F (3, 26) = 3.00

At 3 and 26 degrees of freedom from the F value, the critical value of F is 2.98.

Since, the test statistic value is greater than critical value. Thus, the null hypothesis will be rejected.

Step 2

F (4, 55) = 2.54

The critical value of F at 4 and 55 degrees of freedom from the F value is 2.54.

Since, the test statistic value is equal to the critical value. Thus, the null hypothesis will fail to reject.

Step 3

F (4, 30) = 2.72

The critical value of F at 4 and 30 degrees of freedom from the F value is 2.69.

Since, the test statistic value is greater than critical value. Thus, the null hypothesis will be rejected.

Step 4

F (2, 12) = 3.81

The critical value of F at 4 and 55 degrees of freedom from the F value is 3.89.

Since, the test statistic value is less than critical value. Thus, the null hypothesis will fail to reject.

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