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 86.4 seconds. A manager 101.2 80.6 devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait 69.0 93.0 time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 59.5 84.4 75.2 69.1 65.7 82.3 Click the icon to view the table of correlation coefficient critical values. (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 is shown below and the sample correlation coefficient is known to be r= 0.987. Are the conditions for testing the hypothesis satisfied? the conditions satisfied. The normal probability plot linear enough, since the correlation coefficient is than the critical value. In Expected z-score addition, a boxplot does not show any outliers. - X Critical values Time (sec) Sample Size, n Critical Value Sample Size, n Critical Value (b) Is the new system et 5 0.880 16 0.941 6 0.888 17 0.944 First determine the appr 7 0.898 18 0.946 8 0.906 19 0.949 Ho 86.4 9 0.912 20 0.951 HA 186.4 B AFA Find the test statistic. to = Print Done (Round to two decimal Find the P-value