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

Question

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=35 and x=150.33 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by: 32.63 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. Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table a. The best point estimate isIb (Type an integer or a decimal.) | lb

Explanation / Answer

Solution:- Given that n = 35 , x = 150.33 , ? = 32.63

df = n-1 = 35-1 = 34

t(34 ,0.05) = 1.69

a. The best point estimate is 150.33 lb.

b. The 90% confidence interval estimate is

=> X +/- t*s/sqrt(n)

= 150.33 +/- 1.69*32.63/sqrt(35)

= 141.01 , 159.65

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