Question
Two investigators are interested in studying the health of men 18-24 years old in Baltimore City.Investigator A plans to take a random sample of 100
Two investigators are interested in studying the health of men 18-24 years old in Baltimore City.Investigator A plans to take a random sample of 100 men age 18-24 from Baltimore City.Investigator B will take a random sample of 1,000 such men.Both investigators will measure the waist size of men in their samples.
1.Which investigator will get a smaller (in value) sample
standard deviation (s) for the waist sizes of the men in his/her
sample?
2.What is quantified by the sample standard deviation (s)?
3.Which investigator will (most likely) get a smaller (in value)
estimated standard error for the sample mean waist size?
4.What is quantified by the standard error of the sample mean?
5.Which investigator is likely to estimate a narrower 95% confidence
interval for the true mean waist size of all men 18-24 in Baltimore City?
6.Which investigator will definitely get the sample mean closest to thetrue population mean among all male 18-24 year olds in BaltimoreCity?
7.For which sample size: n=100 or n=1,000 will sample mean
estimates be closer, on average, to the true population mean?
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