In: Statistics and Probability
A statistics professor is at a supermarket waiting in line to
buy some groceries. While waiting for the line to move he listened
to several people complaining about the long delays. From the
different conversions going on he quickly gathers some inform and
estimates from the large sample that the mean waiting time is about
12 minutes. He then estimates the population standard deviation to
be 1.5 minutes.
1. (a) Explain in detail using full sentences how he should go
about finding a 90% confidence interval for the time he has to wait
in line to be served. Enumerate each step.
2. Let’s assume that from the question in part (1) it is determined
that its margin of error is approximately 3.5. minutes. (a) What
does this mean exactly for a 90% confidence interval?