Question

A long-distance telephone company claims that the mean duration of long-distance telephone calls originating in one town was greater than 9.4 minutes, which is the average for the state. Determine the conclusion of the hypothesis test assuming that the results of the sampling don’t lead to rejection of the null hypothesis.

(A) Conclusion: Support the claim that the mean is less than 9.4 minutes.
(B) Conclusion: Support the claim that the mean is greater than 9.4 minutes.
(C) Conclusion: Support the claim that the mean is equal to 9.4 minutes.
(D) Conclusion: Do not support the claim that the mean is greater than 9.4 minutes.

Answer 1

(D) Conclusion: Do not support the claim that the mean is greater than 9.4 minutes

Explanation:

Let X be the mean duration of long distance telephone class originating in one town.

`H_0: x bar = 9.4\\H_a: x bar >9.4`

(one tailed test)

The conclusion of the hypothesis test assuming that the results of the sampling don’t lead to rejection of the null hypothesis.

This means that there is no statistical evidence to support the alternate claim.

Hence option D is right.

(D) Conclusion: Do not support the claim that the mean is greater than 9.4 minutes