Question
In: Statistics and Probability
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: 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
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 144.44 lb
population standard deviation = 
= 30.15 lb
Sample size = n = 45
Z
/2
= 1.96
Margin of error = E = Z/2*
(
/
= 1.96 * (30.15 /
Margin of error = E = 8.81
At 95% confidence interval estimate of the population mean is,
- E < 
<
+ E
144.44 - 8.81 <
< 144.44 + 8.81
135.63 <
< 153.25
The 95% confidence interval estimate is 135.63 lb < μ < 153.25 lb
orchestra answered 3 years agoRelated Solutions
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