1) Assume that a sample is used to estimate the mean tip earned by a serving staff at a diner. Find the margin of errorM.E.that corresponds to a sample of size 5 servers with a mean of $106.34 and a standard deviation of $5.25 at a confidence level of 95%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.

2) Problem

A machine at a soft-drink bottling factory is calibrated to dispense 12 ounces of cola into cans. A simple random sample of 40 cans is pulled from the line after being filled and the contents are measured.

The mean content of the 40 cans is 11.89 ounces with a standard deviation of 0.09 ounces.

Estimate the true mean contents of the cans being filled by this machine with 99% confidence.