Q28: Beef Consumption. Many Medical professionals believe that eating too much red meat increases the risk of heart dise

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Q28: Beef Consumption. Many Medical professionals believe that
eating too much red meat increases the risk of heart disease and
cancer. 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 for a confidence interval
estimate of the population mean amount of beef consumed
annually. Use 25 pounds as a planning value for the population
standard deviation and recommended a sample size for each of the
following situations:
a. A 90% confidence interval is desired for the mean amount of
beef consumed.
b. A 95% confidence interval is desired for the mean amount
of beef consumed.
c. A 99% confidence interval is desired for the mean amount
of beef consumed.
d. 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? Discuss.