Suppose a bank​ branch, located in a residential​ area, is concerned with its service during the​ noon-to-1 pm lunch hour. The waiting​ times, in​ minutes, collected from a sample of 15 customers during this​ hour, are listed below. Complete parts​ (a) through​ (d) below. 9.58 5.98 8.04 5.82 8.91 3.81 8.11 8.42 10.51 6.74 5.64 4.01 6.18 9.81 5.56     a.Compute the mean and median.   b. Compute the​ variance, standard​ deviation, range, coefficient of​ variation, and Z scores. Are there any​ outliers? Explain.   c. Are the data​ skewed? If​ so, how? Choose the correct response below.       1. Yes, the data are right-skewed because the mean is greater than the median     2. No. the data are not skewed because the mean and median are equal.    3. Yes, the data are left-skewed because the mean is less than the median    4. No, the data are not skewed because there are no outliers   D. As a customer walks into the branch office during the lunch​ hour, he asks the branch manager how long he can expect to wait. The branch manager​ replies, "Almost certainly less than 5​ minutes." On the basis of the results of​ (a) through​ (c), evaluate the accuracy of this statement. Choose the correct response below.   1. Although both the mean and median are greater than 5​ minutes, all values greater than 5 minutes have a Z score greater than +​3.0, thus they are outliers. This means the branch​ manager's statement is accurate.   2. Since the mean and median are both greater than 5​ minutes, the customer is likely to experience a waiting time in excess of 5 minutes.   3. Since the standard deviation is less than 5​ minutes, the customer is likely to experience a waiting time less than 5 minutes.

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Suppose a bank​ branch, located in a residential​ area, is concerned with its service during the​ noon-to-1 pm lunch hour. The waiting​ times, in​ minutes, collected from a sample of 15 customers during this​ hour, are listed below. Complete parts​ (a) through​ (d) below.

9.58 5.98 8.04 5.82 8.91 3.81 8.11 8.42
10.51 6.74 5.64 4.01 6.18 9.81 5.56  
 
a.Compute the mean and median.
 
b. Compute the​ variance, standard​ deviation, range, coefficient of​ variation, and Z scores. Are there any​ outliers? Explain.
 
c. Are the data​ skewed? If​ so, how? Choose the correct response below.
 
    1. Yes, the data are right-skewed because the mean is greater than the median
    2. No. the data are not skewed because the mean and median are equal.
   3. Yes, the data are left-skewed because the mean is less than the median
   4. No, the data are not skewed because there are no outliers
 
D.
As a customer walks into the branch office during the lunch​ hour, he asks the branch manager how long he can expect to wait. The branch manager​ replies, "Almost certainly less than 5​ minutes." On the basis of the results of​ (a) through​ (c), evaluate the accuracy of this statement. Choose the correct response below.
 
1. Although both the mean and median are greater than 5​ minutes, all values greater than 5 minutes have a Z score greater than +​3.0,
thus they are outliers. This means the branch​ manager's statement is accurate.
 
2. Since the mean and median are both greater than 5​ minutes, the customer is likely to experience a waiting time in excess of 5 minutes.
 
3. Since the standard deviation is less than 5​ minutes, the customer is likely to experience a waiting time less than 5 minutes.
 
4. Since the range of values is greater than 5​ minutes, the customer is likely to experience a waiting time in excess of 5 minutes.
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