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In the discussion for week 4 you rolled a pair of dice 10

Constructing Confidence Intervals

In the discussion for week 4, you rolled a pair of dice 10 times and calculated the average sum of your rolls.
Then you did the same thing with 20 rolls.
Use your results from the week 4 discussion for the average of 10 rolls and for the average of 20 rolls to construct a confidence interval for the true mean of the sum of a pair of dice (assume σ = 2.41).
What do you notice about the length of the interval for the mean of 10 rolls versus the mean of 20 rolls? Did you expect this? Why or why not?

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