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 86.1 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates 108.6 30.3 the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 69.6 94.2 (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=0.983. Are the conditions for testing the hypothesis satisfied? Yes, the conditions are satisfied. The normal probability plot is linear enough, since the correlation coefficient is greater than the critical value. In addition, a boxplot does not show any outliers. A Expected z-score 60 75 go hos -1- - X Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1. Critical values X First determine the appropriate hypotheses. Sample Size, n Critical Value Sample Size, n Critical Value Ho- = 86.1 5 0.880 16 0.941 Please copy and paste data from text area below. .88