1. A state meat inspector in Iowa has been given the assignment of estimating the meannet weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean weight to be 3.01 pounds, with a standard deviationof 0.03 pounds.
a. What is the estimated population mean?
b. Determine a 95 percent confidence intervalfor the population mean.
2. A recent surveyof 50 executives who were laid off from their previous position revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population Is it reasonable that the population mean is 28 weeks? Justify your answer.
This solution is comprised of a detailed explanation of the various aspects of calculation of Confidence Interval. This step-by-step calculation and explanation of this complicated topic provides students with a clear perspective of Confidence Interval.