37 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?
a) What is the margin of error? Show how to set up the formula. You can use a calculator to evaluate.
b) What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?
c) Write a one sentence interpretation of your confidence interval.