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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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