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105.7 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 86.7 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. 82.1 66.3 95.9 56.7 87.5 70.0 83.9 75.3 66.6 E 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=0.989. Are the conditions for testing the hypothesis satisfied? V the conditions V satisfied. The normal probability plot V linear enough, since the correlation coefficient is V than the critical value. In addition, a boxplot AExpected z-score 2- does not show any outliers. 1- 60 75 90 105 -1- Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01. First determine the appropriate hypotheses. Họ: V86.7 H: V 86.7 Find the test statistic.

105.7 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 86.7 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. 82.1 66.3 95.9 56.7 87.5 70.0 83.9 75.3 66.6 E 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=0.989. Are the conditions for testing the hypothesis satisfied? V the conditions V satisfied. The normal probability plot V linear enough, since the correlation coefficient is V than the critical value. In addition, a boxplot AExpected z-score 2- does not show any outliers. 1- 60 75 90 105 -1- Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01. First determine the appropriate hypotheses. Họ: V86.7 H: V 86.7 Find the test statistic.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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option d. for the last question is

D.
The​ P-value is
greater
than the level of significance so there
is not sufficient
evidence to conclude the new system is effective.
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 86.7 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. 105.7 82.1 66.3 95.9 56.7 87.5 75.3 70.0 66.6 83.9 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= 0.989. Are the conditions for testing the hypothesis satisfied? satisfied. The normal probability plot than the critical value. In addition, a boxplot Expected z-score 2- the conditions linear enough, since the correlation coefficient is does not show any outliers. 1- 0- 60 75 90 105 -1- -2- Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01. First determine the appropriate hypotheses. Ho: 86.7 H7: 86.7 Find the test statistic.
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 86.7 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. 105.7 82.1 66.3 95.9 56.7 87.5 75.3 70.0 66.6 83.9 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= 0.989. Are the conditions for testing the hypothesis satisfied? satisfied. The normal probability plot than the critical value. In addition, a boxplot Expected z-score 2- the conditions linear enough, since the correlation coefficient is does not show any outliers. 1- 0- 60 75 90 105 -1- -2- Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01. First determine the appropriate hypotheses. Ho: 86.7 H7: 86.7 Find the test statistic.
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 86.7 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. 105.7 82.1 66.3 95.9 56.7 87.5 75.3 70.0 66.6 83.9 Click the icon to view the table of correlation coefficient critical values. to =U (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 = 0.01 level of significance. What can be concluded from the hypothesis test? O A. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. B. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective. C. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective.
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 86.7 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. 105.7 82.1 66.3 95.9 56.7 87.5 75.3 70.0 66.6 83.9 Click the icon to view the table of correlation coefficient critical values. to =U (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 = 0.01 level of significance. What can be concluded from the hypothesis test? O A. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. B. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective. C. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective.
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