# Question

Go to the Confidence Intervals for a Mean applet on the text CD. Choose the sample size of 50 and the skewed population distribution with μ = 100. Generate 100 random samples, each of size 50, and for each one form a 95% confidence interval for the mean.

a. How many of the intervals fail to contain the true value?

b. How many would you expect not to contain the true value?

c. Now repeat the simulation using 10,000 random samples of size 50. Why do close to 95% of the intervals contain μ, even though the population distribution is quite skewed?

a. How many of the intervals fail to contain the true value?

b. How many would you expect not to contain the true value?

c. Now repeat the simulation using 10,000 random samples of size 50. Why do close to 95% of the intervals contain μ, even though the population distribution is quite skewed?

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