Suppose you would like to conduct a survey to determine the yearly consumption of beef by a typical American and want to use 3 pounds as the desired margin of error estimate of the population mean amount of beef consumed annually. Use 25 pounds as the population standard deviation and recommend a sample size for each of the following situations: A 90% confidence interval is desired. A 95% confidence interval is desired. A 99% confidence interval is desired. When the desired margin of error is set, what happens to the sample size as the confidence level is increased? Would you recommend using 99% confidence interval in this case?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Suppose you would like to conduct a survey to determine the yearly consumption of beef by a typical American and want to use 3 pounds as the desired margin of error estimate of the population mean amount of beef consumed annually. Use 25 pounds as the population standard deviation and recommend a sample size for each of the following situations:

  1. A 90% confidence interval is desired.
  2. A 95% confidence interval is desired.
  3. A 99% confidence interval is desired.
  4. When the desired margin of error is set, what happens to the sample size as the confidence level is increased? Would you recommend using 99% confidence interval in this case? 
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