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Statistics: Victor's Announcement (Hunting Store)

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PROBLEM 11:
Victor’s Announcement, a hunting store, is interested in providing cashiers guidelines for speed of service.  A random sample of 18 employees is used for this process.


Average Number of Items in Customer Cart
    Number of Transactions per Hour
10.0    26
 9.7    26.5
 9.4    31
9.2    35
9.0    38
8.8    39
8.5    40
8.3    40
8.2    42.5
8.0    43
7.9    45
7.5    47
7.3    50
7.1    51
6.8    55.5
6.5    60
6.2    67.5
5.0    81

a) What are the mean and median transactions per hour for the 18 employees?   

b)  A manager at the firm feels that the number of transactions per hour is related to the number of items in a customer’s cart.  (Note: this is an exceptionally perceptive, high-paid manager.)  He feels that employees who have lines with smaller average order sizes ought to be able to do the job faster.   Does the data support his hunch?
Solution
The mean and median are computed for the first question. For the second part, the correlation coefficient if computed using the standard formula and based on the value and sign of the correlation coefficient, the conclusions are provided.
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