SOLUTION: Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=35 and x-bar =151.06 lbs. Research from other sources suggest that the popu

Question 1182176: Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=35 and x-bar =151.06 lbs. Research from other sources suggest that the population of weights of women has a standard deviation given by o=30.48 lbs.
a) Find the best point estimate of the mean weight of all women.
b) Find a 99% confidence interval estimate of the mean weight of all women
a) The best point estimate is ______.
b) The 90% confidence interval estimate is ____lbs< mu <_____lbs.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The point-estimate is the best guess, which is the mean from the data set of 151.06 lb.
99%CI half-interval is z(0.995)*sigma/sqrt(n)
=2.576*30.48/sqrt(35)=13.27 lb
the full interval is (137.79 lb, 164.33 lb.)
the 90% interval uses 1.645 for z and the half-interval is 8.475 lb. This is added to and subtracted from the mean to get the full interval.
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