In: Statistics and Probability
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 annual consumption of beef by a typical American and want to use four pounds as the desired margin of error for a confidence interval of the population mean. Assume the population standard deviation is 20 pounds. Determine the sample size when:
a)A 90% confidence interval is desired for the mean amount of beef consumed.
b)A 99% confidence interval is desired for the mean amount of beef consumed.
Suppose you want to develop a confidence interval for the proportion of Americans who over-consume red meat with a desire margin of error of 0.1. Determine the sample size needed when:
c) A 90% confidence interval is desired for the proportion of Americans who over-consume red meat.
d) A 95% confidence interval is desired for the proportion of Americans who over-consume red meat.