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Vaiting 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 devises a ew 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 elected 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. CHIED D than the critical value. In addition, a 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 same correlation coefficient is known to be r=0.993. Are the conditions for testing the hypothesis satisfied? the conditions linear enough, since the correlation coefficient is satisfied The normal probability plot poxplot does not show any outliers. 101.6 69.0 57.5 76.1 64.1 A Expected z-score 2 1- 0- -1- 160 RE G 82.9 95.0 86.3 sol 305 70.3 87.2 Q Q G

Vaiting 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 devises a ew 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 elected 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. CHIED D than the critical value. In addition, a 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 same correlation coefficient is known to be r=0.993. Are the conditions for testing the hypothesis satisfied? the conditions linear enough, since the correlation coefficient is satisfied The normal probability plot poxplot does not show any outliers. 101.6 69.0 57.5 76.1 64.1 A Expected z-score 2 1- 0- -1- 160 RE G 82.9 95.0 86.3 sol 305 70.3 87.2 Q Q G

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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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 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. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 888 Click the icon to view the table of correlation coefficient critical values. the conditions 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=0.993. Are the conditions for testing the hypothesis satisfied? satisfied. The normal probability plot linear enough, since the correlation coefficient is Q 86.4 86.4 Find the test statistic. to = (Round to two decimal places as needed) Find the P-value 4 than the critical value. In addition, a 101.6 69.0 57.5 76.1 64.1 A Expected z-score 2- 1 0 60 75 90 105 82.9 95.0 86.3 Time (sec) 70.3 87.2 0
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 86.4 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. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 888 Click the icon to view the table of correlation coefficient critical values. the conditions 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=0.993. Are the conditions for testing the hypothesis satisfied? satisfied. The normal probability plot linear enough, since the correlation coefficient is Q 86.4 86.4 Find the test statistic. to = (Round to two decimal places as needed) Find the P-value 4 than the critical value. In addition, a 101.6 69.0 57.5 76.1 64.1 A Expected z-score 2- 1 0 60 75 90 105 82.9 95.0 86.3 Time (sec) 70.3 87.2 0
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 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. The wait times are provided in the table to the right. Complete parts (a) and Click the icon to view the table of correlation coefficient critical values. First determine the appropriate hypotheses. Но H₁ ▼86.4 86.4 Find the test statistic to = (Round to two decimal places as needed.) Find the P-value The P-value is (Round to three decimal places as needed.) Use the a=0.1 level of significance. What can be concluded from the hypothesis test? Critical values Sample Size, n 5 6 7 8 9 10 11 12 13 14 15 A Critical Value 0.880 0.888 0.898 0.906 0.912 0918 0.923 0.928 0.932 0.935 0.939 Print OA. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. OB. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective. OC. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective. OD. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective. Sample Size, n 16 17 18 19 20 21 22 23 24 25 30 Done 101.6 69.0 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0.960 P X 82.9 95.0 86.3 70.3 87.2 0.¹
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 86.4 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. The wait times are provided in the table to the right. Complete parts (a) and Click the icon to view the table of correlation coefficient critical values. First determine the appropriate hypotheses. Но H₁ ▼86.4 86.4 Find the test statistic to = (Round to two decimal places as needed.) Find the P-value The P-value is (Round to three decimal places as needed.) Use the a=0.1 level of significance. What can be concluded from the hypothesis test? Critical values Sample Size, n 5 6 7 8 9 10 11 12 13 14 15 A Critical Value 0.880 0.888 0.898 0.906 0.912 0918 0.923 0.928 0.932 0.935 0.939 Print OA. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. OB. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective. OC. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective. OD. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective. Sample Size, n 16 17 18 19 20 21 22 23 24 25 30 Done 101.6 69.0 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0.960 P X 82.9 95.0 86.3 70.3 87.2 0.¹
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