Using the simple random sample of weights of women from a dataset, we obtain these samplestatistics: n = 35 and x overbar = 152.62 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma = 31.53 lb.

a. Find the best point estimate of the mean weight of all women.

b. Find a 90% confidence interval estimate of the mean weight of all women.