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Using the simple random sample of weights of women from a data set, we obtain th

ID: 3176273 • Letter: U

Question

Using the simple random sample of weights of women from a data set, we obtain these sample statistics:

n=40 and x over bar =152.98 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by =31.72 lb.

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

b. Find a 95% confidence interval estimate of the mean weight of all women

a.The best point estimate is _______lb.

(Type an integer or a decimal.)

b. The 95% confidence interval estimate is _____lb < < ______lb.

(Round to two decimal places as needed

Explanation / Answer

a. best estimate of population mean is sample mean=152.98

b. t table value is 2.0227

So E=t*sd/sqrt(n)=10.14

Hence CI=mean+/-E=152.98+/-10.14=(142.84,163.12)