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.