The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.2 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders.

102.8, 68.3, 59.5, 75.7, 64, 79.8, 96.6, 87.7, 69.9, 85.7

A. Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers.

Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of =0.01.

First determine the appropriate hypotheses.

Find the test statistic.

t0=

Find the P-value.

The P-value is

Use the =0.01 level of significance. What can be concluded from the hypothesis test?

A.

The P-value is greater than the level of significance so there issufficient evidence to conclude the new system is effective.

B. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective.

C. The P-value is less than the level of significance so there isnotsufficient evidence to conclude the new system is effective.

D. The P-value is greater than the level of significance so there is notsufficient evidence to conclude the new system is effective.