The mean waiting time at the drivethrough of a fastfood rest
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is109.879.9 placed to the time the order is received is 88.8 seconds. A manager devises a new drive-through68.0 95.7 system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table. Complete parts (a) and (b) below 56.485.0 76.3 70.5 66.3 82.1 (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. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied? OA. No, the sample is not normally distributed and OB. No, the sample is not normally distributed. OC. Yes, the conditions are satisfied. OD. No, the sample contains outliers contains outliers. 55 85 115 time (seconds) 115 time (seconds) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of First determine the appropriate hypotheses. H88.8 Find the test statistic (Round to two decimal places as needed.) Find the P-value The P-value is .
Solution
