A men’s clothing company is interested in estimating the average inseam length of a target population for a new line of dress pants. They decide to take a random sample of 36 people from this target population and find a sample mean of 34.1 inches and a sample standard deviation of 2.4 inches.

Where are good point estimates for σx and μx?

What are good point estimated for σx̅ and μx̅?

How large of a sample would have been necessary to achieve a maximum error of the estimate of half an inch with a 95% confidence level?

If it is know that inseam lengths are normally distributed and the clothing company was interested in making a range of lengths wide enough to fit 95% of individuals in this target population, according to this sample what should their range of sizes be?

a)(33.3,34.9) b)(29.2, 39.0)

What sizes should the clothing company consider producing the most of?

a)33-35 b)29-39