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In: Statistics and Probability

In the discussion for week 4, you rolled a pair of dice 10 times and calculated...

In the discussion for week 4, you rolled a pair of dice 10 times and calculated the average sum of your rolls.  My average was 5.1 for 10 rolls and 6.75 for 20 rolls. Use my average results for the average of 10 rolls and for the average of 20 rolls to construct a 95% 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?


Using your mean for 20 rolls, calculate the 90% confidence interval.  Explain its size as compared to the 95% confidence interval for 20 rolls.


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