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Solve for B)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve for B)

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 88.9 seconds. A manager 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 time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. Click the icon to view the table of correlation coefficient critical values. 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 (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1 First determine the appropriate hypotheses Ho H₁ (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 = 0.984. Are the conditions for testing the hypothesis satisfied? 108.1 66.4 57.1 73.7 67.4 88.9 88.9 24 A Expected z-score 1- 0- 80.8 94.1 84.3 -1- 71.7 86.4 Time (sec) 60 75 90 105 N
Transcribed Image Text: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 88.9 seconds. A manager 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 time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. Click the icon to view the table of correlation coefficient critical values. 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 (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1 First determine the appropriate hypotheses Ho H₁ (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 = 0.984. Are the conditions for testing the hypothesis satisfied? 108.1 66.4 57.1 73.7 67.4 88.9 88.9 24 A Expected z-score 1- 0- 80.8 94.1 84.3 -1- 71.7 86.4 Time (sec) 60 75 90 105 N
Critical values Sample Size, n Critical Value 5 0.880 6 0.888 7 8 9 10 11 12 13 14 15 0.898 0.906 0.912 0.918 0.923 0.928 0.932 0.935 0.939 Sample Size, n 16 17 18 19 20 21 22 23 24 25 30 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0:960
Transcribed Image Text:Critical values Sample Size, n Critical Value 5 0.880 6 0.888 7 8 9 10 11 12 13 14 15 0.898 0.906 0.912 0.918 0.923 0.928 0.932 0.935 0.939 Sample Size, n 16 17 18 19 20 21 22 23 24 25 30 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0:960
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