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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. 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 95% confidence interval for the true mean of the sum of a pair of dice (assume σ = 2.41 - and this statement is SUPER IMPORTANT!!! Why?). 10 rolls 6.7,20 rolls 8.1

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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 95% confidence interval for the true mean of the sum of a pair of dice (assume σ = 2.41 - and this statement is SUPER IMPORTANT!!! Why?). 10 rolls 6.7,20 rolls 8.1

Since population standard deviation σ is given, we use z distribution to construct a 95% confidence interval for the true mean.

For 95%, z=1.96

CI for 10 rolls,

=( 5.2063, 8.1937)

CI for 20 rolls,

=( 7.0438, 9.1562)

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