In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $ 315 $ 374 $ 359 $ 311 $ 376 $ 371 (a) Calculate I, s, and s for the expense data. (Round "Mean" and "Variances" to 2 decimal places and "Standard Deviation" to 3 decimal places.) x-bar S^2 S (b) Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. (Round intermediate calculations and final answers to 2 decimals.) [x-bar i s] [x-bar 2 2s) (x-bar 2 3s)

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(c) If a member of the sales force submits an entertainment expense (dinner cost for four) of $390, should this expense be considered
unusually high (and possibly worthy of investigation by the company)? Explain your answer.
O No
Yes
(d) Compute and interpret the z-score for each of the six entertainment expenses. (Round z-score calculations to 2 decimal places.
Negative amounts should be indicated by a minus sign.)
z315
z374
z359
z311
z376
z371
Transcribed Image Text:(c) If a member of the sales force submits an entertainment expense (dinner cost for four) of $390, should this expense be considered unusually high (and possibly worthy of investigation by the company)? Explain your answer. O No Yes (d) Compute and interpret the z-score for each of the six entertainment expenses. (Round z-score calculations to 2 decimal places. Negative amounts should be indicated by a minus sign.) z315 z374 z359 z311 z376 z371
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a
random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales
force.
$ 315
$ 374
$ 359
$ 311
$ 376
$ 371
(a) Calculate I, s?, and s for the expense data. (Round "Mean" and "Variances" to 2 decimal places and "Standard Deviation" to 3
decimal places.)
x-bar
s^2
(b) Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance
intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. (Round
intermediate calculations and final answers to 2 decimals.)
[x-bar t s]
[x-bar ± 2s]
[x-bar ± 3s]
Transcribed Image Text:In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $ 315 $ 374 $ 359 $ 311 $ 376 $ 371 (a) Calculate I, s?, and s for the expense data. (Round "Mean" and "Variances" to 2 decimal places and "Standard Deviation" to 3 decimal places.) x-bar s^2 (b) Assuming that the distribution of entertainment expenses is approximately normally distributed, calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all entertainment expenses by the sales force. (Round intermediate calculations and final answers to 2 decimals.) [x-bar t s] [x-bar ± 2s] [x-bar ± 3s]
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