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?