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.)
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• Part (a)

  F(3, 26) = 3.01

  F_crit =

  Retain the null hypothesis. Reject the null hypothesis.    

• Part (b)

  F(5, 24) = 2.41

  F_crit =

  Retain the null hypothesis. Reject the null hypothesis.    

• Part (c)

  F(4, 33) = 2.70

  F_crit =

  Retain the null hypothesis. Reject the null hypothesis.    

• Part (d)

  F(2, 14) = 3.68

  F_crit =

  Retain the null hypothesis. Reject the null hypothesis.    

Answer 1

a)

From the F value the critical value at 3 and 26 degree of freedom with 0.05 level of significance is 2.97 which is less than the test statistic value 3.01.

F (crit) = 2.97

F(crit) < F(statistic), therefore, the null hypothesis is rejected.

b)

From the F value the critical value at 5 and 24 degree of freedom with 0.05 level of significance is 2.62 which is greater than the test statistic value 2.41.

F (crit) = 2.62

F(crit) > F(statistic), therefore, the null hypothesis is fail to reject. (Retain the null hypothesis).

c)

From the F value the critical value at 4 and 33 degree of freedom with 0.05 level of significance is 2.66 which is less than the test statistic value 2.70.

F (crit) = 2.66

F(crit) < F(statistic), therefore, the null hypothesis is rejected.

d)

From the F value the critical value at 2 and 14 degree of freedom with 0.05 level of significance is 3.74 which is greater than the test statistic value 3.68.

F (crit) = 3.74

F(crit) > F(statistic), therefore, the null hypothesis is fail to reject. (Retain the null hypothesis)