Go to artofstat.com, click on WebApps and open the Explore Coverage app. Change

Question

Go to artofstat.com, click on WebApps and open the Explore Coverage app. Change the tab on top of the graph to Confidence Interval for a Mean. Change the Population Distribution to Bell-shaped and use the default mean=50 and standard deviation=10. Under “Choose confidence level (in %)“ use the default 95, and under "Select sample size (n)" use the default of n=20. Under “Select how many samples (of size n) you want to draw from the population” select 10. Click on “Draw sample(s)” and note that ten confidence intervals appear under the population graph. Under Coverage, the app displays two percentages - "cover" and "do not cover". Coverage represents:

A) the percentage of the 10 intervals that cover the true sample mean.

B) the percentage of the 10 intervals that cover the true population proportion.

C) the percentage of the 10 intervals that cover the sample mean computed from each sample.

D) the percentage of the 10 intervals that cover the true population mean.

Explanation / Answer

right choice is D) the percentage of the 10 intervals that cover the true population mean.

If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean

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