Foot Locker has 3400 stores in the U.S. The company uses sales per square foot as a measure of store productivity. Last year sales were running at an annual rate of $406 per square foot for all stores (The Wall Street Journal, March 7, 2012) with a standard deviation of $80. You have been asked by management to conduct a study of a sample of 64 stores. a. Determine the probability that the sample of 64 stores will have a sales average within $15 of the population mean.  b. Each year Foot Locker invites store managers with sales in the top 8% to enjoy a complimentary vacation in Hawaii. Determine the smallest sales level for the store managers who were awarded a trip to Hawaii last year. Assume the distribution of sales was normally distributed last year.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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5. Foot Locker has 3400 stores in the U.S. The company uses sales per square foot as a measure of store productivity. Last year sales were running at an annual rate of $406 per square foot for all stores (The Wall Street Journal, March 7, 2012) with a standard deviation of $80. You have been asked by management to conduct a study of a sample of 64 stores.

a. Determine the probability that the sample of 64 stores will have a sales average within $15 of the population mean. 

b. Each year Foot Locker invites store managers with sales in the top 8% to enjoy a complimentary vacation in Hawaii. Determine the smallest sales level for the store managers who were awarded a trip to Hawaii last year. Assume the distribution of sales was normally distributed last year.

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