As a manager of an airline company you want to learn the average weight of luggages checked in on a flight. From a sample of luggages, you find the average to be kg and the standard deviation to be kg The person in charge of the luggages argues that the population mean is exactly kg

a Test the hypothesis at significance level.

b Calculate a confidence interval.

c If the true mean is kg what can you say about the probability of type II error

make an assessment to the extent which statistical tables allow