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

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

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

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

We would expect the 95% confidence interval (CI) based on Sample A 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 A will be larger than the standard error of the mean based on Sample B.

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

	The CI will contain the population mean, regardless of the value of p.
	The CI will contain the sample mean, regardless of the value of p.
	If one constructed many p% confidence intervals based on different samples of size n from the population, we’d expect approximately p% of those intervals to contain the population mean.
	We are p% confident that the p% CI will contain the population mean.

ANSWER ALL PARTS WITH TRUE OR FALSE.

Expert Solution

orchestra answered 1 year ago

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