Question
Using the simple random sample of weights of women from a data set, we obtain these...
Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals40 and x overbarequals144.09 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals32.28 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. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING...
Homework Answers
Answer #1
Solution :
Given that,
Sample size = n = 40
Z
/2
= 1.96
Margin of error = E = Z/2*
(
/
n)
=1.96 * (32.28 /
40)
= 10.00
At 95% confidence interval estimate of the population mean is,
- E < 
<
+ E
144.09 - 10.00 <
< 144.09 + 10.00
134.09 <
< 154.09
(134.09 , 154.09)
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