Suppose the meanwait-time for a telephone reservation agent at a large airline is 42 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address thisconcern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample meanwait-time of 41.2 seconds with a standard deviation of 4.2 seconds. Using =0.05 level ofsignificance, do you believe the new policies were effective in reducing waittime? Do you think the results have any practicalsignificance?

Determine the null and alternative hypotheses.

h₀= __ 42 sec

h₁=__ 42 sec

Calculate the test statistic.

t₀=

Calculate theP-value.

P-value=

State the conclusion for the test.

A.

Donotreject H0 because theP-value is lessthan the =0.05 level of significance.

B.

Donotreject H0 because theP-value is greaterthan the =0.05 level of significance.

C.

Reject H0 because theP-value is lessthan the =0.05 level of significance.

D.

Reject H0 because theP-value is greaterthan the =0.05 level of significance.

question -Do you think the results have any practicalsignificance?

A.

Yes, because while there is no significant evidence that shows the new policies were effective in lowering the meanwait-time ofcustomers, the difference between the previous meanwait-time and the new meanwait-time is large enough to be considered important.

B.

No, because while there is significant evidence that shows the new policies were effective in lowering the meanwait-time ofcustomers, the difference between the previous meanwait-time and the new meanwait-time is not large enough to be considered important.

C.

Yes, because the test concluded that there is a significant difference between the two meanwait-times. Therefore, there is a practical significance.

D.

No, because the test concluded that there is no significant difference between the two meanwait-times. Therefore, there is no practical significance