Question

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 88.2 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. Complete parts (a) and (b) below. 109.3 81.5 69.3 94.7 58.1 85.4 73.3 72.5 64.5 81.4 (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 and boxplot are shown. Are the conditions for testing the hypothesis satisfied? A. No, the sample is not normally distributed. B. No, the sample contains outliers. C. No, the sample is not normally distributed and contains outliers. D. Yes, the conditions are satisfied. (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of ? = 0.05. First determine the appropriate hypotheses. H0: ? = 88.2 H1: ? < 88.2 Find the test statistic. t0 = (Round to two decimal places as needed.)

          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 88.2 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. Complete parts (a) and (b) below. 
109.3 81.5 
69.3 94.7 
58.1 85.4 
73.3 72.5 
64.5 81.4
(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 and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
A. No, the sample is not normally distributed. 
B. No, the sample contains outliers. 
C. No, the sample is not normally distributed and contains outliers. 
D. Yes, the conditions are satisfied. 
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of ? = 0.05. 
First determine the appropriate hypotheses.
H0: ? = 88.2 
H1: ? < 88.2 
Find the test statistic. 
t0 = 
(Round to two decimal places as needed.)

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 88.2 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. Complete parts (a) and (b) below.
109.3 81.5
69.3 94.7
58.1 85.4
73.3 72.5
64.5 81.4
(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 and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
A. No, the sample is not normally distributed.
B. No, the sample contains outliers.
C. No, the sample is not normally distributed and contains outliers.
D. Yes, the conditions are satisfied.
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of ? = 0.05.
First determine the appropriate hypotheses.
H0: ? = 88.2
H1: ? < 88.2
Find the test statistic.
t0 =
(Round to two decimal places as needed.)

Added by Jeanne B.

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