In: Statistics and Probability
Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=45 and x over bar=144.44 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma=30.15 lb.
The best point estimate is ____lb
The 95% confidence interval estimate is ___lb<μ<___lb
Solution :
Given that,
Point estimate = sample mean =
= 144.44 lb
population standard deviation =
= 30.15 lb
Sample size = n = 45
Margin of error = E = Z/2*
(
/
n)
Margin of error = E = 8.81
At 95% confidence interval estimate of the population mean is,
144.44 - 8.81 <
< 144.44 + 8.81
The 95% confidence interval estimate is 135.63 lb < μ < 153.25 lb