The director of Computer Associates, Inc (CAI) has been assigned the task of developing the profile of the company’s employees. The characteristics identified include the annual salary and if the employee completed the company’s management trainee program. Data for ALL employees (the population) is presented in the Worksheet CAI. The data on employees is assumed to be normally distributed. a. What is the probability that a random sample of 64 employees will provide a sample mean within $1,000 of the population mean? (USE 4 DECIMALS) b. What is the probability that a random sample of 64 employees will provide a sample mean that is $500 greater than the population mean? (USE 4 DECIMALS) c. What is the probability that a random sample of 64 employees will provide a sample mean that is $400 less than the population mean? (USE 4 DECIMALS) d. What is the probability that a random sample of 64 employees will provide a sample proportion within 0.10 of the population proportion? (4 DECIMALS) e. What is the probability that a random sample of 64 employees will provide a sample proportion that is 0.05 greater than the population proportion? (4 DECIMALS) f. What is the probability that a random sample of 64 employees will provide a sample proportion that is 0.03 less than the population proportion?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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The director of Computer Associates, Inc (CAI) has been assigned the task of developing the profile of the company’s employees. The characteristics identified include the annual salary and if the employee completed the company’s management trainee program. Data for ALL employees (the population) is presented in the Worksheet CAI. The data on employees is assumed to be normally distributed. a. What is the probability that a random sample of 64 employees will provide a sample mean within $1,000 of the population mean? (USE 4 DECIMALS) b. What is the probability that a random sample of 64 employees will provide a sample mean that is $500 greater than the population mean? (USE 4 DECIMALS) c. What is the probability that a random sample of 64 employees will provide a sample mean that is $400 less than the population mean? (USE 4 DECIMALS) d. What is the probability that a random sample of 64 employees will provide a sample proportion within 0.10 of the population proportion? (4 DECIMALS) e. What is the probability that a random sample of 64 employees will provide a sample proportion that is 0.05 greater than the population proportion? (4 DECIMALS) f. What is the probability that a random sample of 64 employees will provide a sample proportion that is 0.03 less than the population proportion?

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