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 87.3 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. 103.3 81.3   69.8 95.4   59.9 85.9   73.8 72.2   67.1 81.3     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 e=0.983 Are the conditions for testing the hypothesis​ satisfied?   ▼   No, Yes, the conditions ▼   are are not satisfied. The normal probability plot ▼   is is not linear​ enough, since the correlation coefficient is ▼   greater less than the critical value.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
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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
87.3
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.
103.3
81.3
 
69.8
95.4
 
59.9
85.9
 
73.8
72.2
 
67.1
81.3
 
 
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
e=0.983
Are the conditions for testing the hypothesis​ satisfied?
 
 
No,
Yes,
the conditions
 
are
are not
satisfied. The normal probability plot
 
is
is not
linear​ enough, since the correlation coefficient is
 
greater
less
than the critical value.

 

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