1a. Consider two samples from the same population. Sample A has size n=500 and Sample B...

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Statistics

1a. Consider two samples from the same population. Sample A hassize n=500 and Sample B has size n = 200. Indicate whether each ofthe following statements is true or false.

We would expect Sample A to have a larger mean than SampleB.

We would expect the mean of Sample A will be closer to thepopulation mean than the mean of Sample B.

We would expect the 95% confidence interval (CI) based on SampleA will have a smaller range than a 95% CI based on Sample B.

We would expect the standard error of the mean based on Sample Awill be larger than the standard error of the mean based on SampleB.

1b. Consider a p% confidence interval (CI) for thepopulation mean constructed from a sample of size n. (Forexample, if p is 95 then it’s a 95% confidence interval.)Indicate whether each of the following statements is true orfalse.

The CI will contain the population mean, regardless of the valueof p.

The CI will contain the sample mean, regardless of the value ofp.

If one constructed many p% confidence intervals basedon different samples of size n from the population, we’d expectapproximately p% of those intervals to contain thepopulation mean.

We are p% confident that the p% CI willcontain the population mean.

ANSWER ALL PARTS WITH TRUE OR FALSE.

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