Foot Locker uses sales per square foot as a measure of store productivity. Sales are currently running at an annual rate of $406 per square foot ( The Wall Street Journal, March 7, 2012). You have been asked by management to conduct a study of a sample of 64 Foot Locker stores. Assume the standard deviation in annual sales per square foot for the population of all 3400 Foot Locker stores is $80. a. Show the sampling distribution of x ¯ , the sample mean annual sales per square foot for a sample of 64 Foot Locker stores. b. What is the probability that the sample mean will be within $15 of the population mean? c. Suppose you find a sample mean of $380. What is the probability of finding a sample mean of $380 or less? Would you consider such a sample to be an unusually low-performing group of stores?

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Statistics for Business & Economic...

12th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9781285846323
BuyFind

Statistics for Business & Economic...

12th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9781285846323

Solutions

Chapter 7, Problem 44SE
Textbook Problem

Foot Locker uses sales per square foot as a measure of store productivity. Sales are currently running at an annual rate of $406 per square foot (The Wall Street Journal, March 7, 2012). You have been asked by management to conduct a study of a sample of 64 Foot Locker stores. Assume the standard deviation in annual sales per square foot for the population of all 3400 Foot Locker stores is $80.

  1. a. Show the sampling distribution of x ¯ , the sample mean annual sales per square foot for a sample of 64 Foot Locker stores.
  2. b. What is the probability that the sample mean will be within $15 of the population mean?
  3. c. Suppose you find a sample mean of $380. What is the probability of finding a sample mean of $380 or less? Would you consider such a sample to be an unusually low-performing group of stores?

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Chapter 7 Solutions

Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 7.3 - The following data are from a simple random...Ch. 7.3 - A survey question for a sample of 150 individuals...Ch. 7.3 - A sample of 5 months of sales data provided the...Ch. 7.3 - BusinessWeek published information on 283 equity...Ch. 7.3 - Many drugs used to treat cancer are expensive....Ch. 7.3 - A sample of 426 U.S. adults age 50 and older were...Ch. 7.3 - The American Association of Individual Investors...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - A population has a mean of 200 and a standard...Ch. 7.5 - Assume the population standard deviation is = 25....Ch. 7.5 - Suppose a random sample of size 50 is selected...Ch. 7.5 - Refer to the EAI sampling problem. Suppose a...Ch. 7.5 - In the EAI sampling problem (see Figure 7.5), we...Ch. 7.5 - Barrons reported that the average number of weeks...Ch. 7.5 - The College Board reported the following mean...Ch. 7.5 - The mean annual cost of automobile insurance is...Ch. 7.5 - The Economic Policy Institute periodically issues...Ch. 7.5 - The average score for male golfers is 95 and the...Ch. 7.5 - The mean preparation fee HR Block charged retail...Ch. 7.5 - To estimate the mean age for a population of 4000...Ch. 7.6 - A sample of size 100 is selected from a population...Ch. 7.6 - A population proportion is .40. A sample of size...Ch. 7.6 - Assume that the population proportion is .55....Ch. 7.6 - The population proportion is .30. What is the...Ch. 7.6 - The president of Doerman Distributors, Inc.,...Ch. 7.6 - The Wall Street Journal reported that the age at...Ch. 7.6 - People end up tossing 12% of what they buy at the...Ch. 7.6 - Forty-two percent of primary care doctors think...Ch. 7.6 - In 2008 the Better Business Bureau settled 75% of...Ch. 7.6 - The Grocery Manufacturers of America reported that...Ch. 7.6 - The Food Marketing Institute shows that 17% of...Ch. 7 - U.S. News World Report publishes comprehensive...Ch. 7 - The latest available data showed health...Ch. 7 - Foot Locker uses sales per square foot as a...Ch. 7 - The mean television viewing time for Americans is...Ch. 7 - After deducting grants based on need, the average...Ch. 7 - Three firms carry inventories that differ in size....Ch. 7 - A researcher reports survey results by stating...Ch. 7 - A production process is checked periodically by a...Ch. 7 - About 28% of private companies are owned by women...Ch. 7 - A market research firm conducts telephone surveys...Ch. 7 - Advertisers contract with Internet service...Ch. 7 - The proportion of individuals insured by the...Ch. 7 - Lori Jeffrey is a successful sales representative...

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