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StatisticsSTATISTICS F/BUSINESS+ECONOMICS-TEXTAnnual salary plus bonus data for chief executive officers are presented in the business-Week Annual Pay Survey. A preliminary sample showed that the standard deviation is $675 with data provided in thousands of dollars. How many chief executive officers should be in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000? ( Note: The desired margin of error would be E = 100 if the data are in thousands of dollars.) Use 95% confidence.BuyFind*arrow_forward*

13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 8, Problem 52SE

Textbook Problem

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Annual salary plus bonus data for chief executive officers are presented in the *business-Week* Annual Pay Survey. A preliminary sample showed that the standard deviation is $675 with data provided in thousands of dollars. How many chief executive officers should be in a sample if we want to estimate the population mean annual salary plus bonus with a margin of error of $100,000? (*Note:* The desired margin of error would be *E* = 100 if the data are in thousands of dollars.) Use 95% confidence.

Expert Solution

To determine

Find the number of chief executive officers required to estimate the population mean annual salary provide at 95% confidence.

**Calculation:**

The given information is that the annual salary and the bonus data for chief executive officers are represents in business week pay survey. The sample standard deviation is $675. The margin of error is 100.

The formula for sample size for an interval estimate of a population mean is,

From the “Table 8.1 value of *z* for 95% is 1.96.

The value of 95% confidence interval for population proportion is,

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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