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” start with just 1. Click on “Draw sample(s)” and note that a confidence interval appears under the population graph.

What does the green square in the middle of the interval represent?

a. The sample mean, x-bar, computed from 20 observations.

b. The population mean, x-bar, computed from all data points in the population.

c. The sample mean, mu, computed from 20 observations.

d. The population mean, mu, computed from all data points in the population.

Explanation / Answer

Answer: a. The sample mean, x-bar, computed from 20 observations.

Reason: Mid point of confidence intervals represent the sample mean computed from a given finite set of observations derived from the population.

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