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# IN THE DISCUSSION FOR WEEK 4, YOU ROLLED A PAIR OF DICE 10 TIMES

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Author: Christine Farr
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http://theperfecthomework.com/in-the-discussion-for-week-4-you-rolled-a-pair-of-dice-10-times-and-calculated-the-average-sum-of-your-rolls/

In the discussion for week 4, you rolled a pair of dice 10 times and calculated theaverage 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 forthe average of 20 rolls to construct a confidence interval for the true mean of the sumof a pair of dice (assume σ = 2.41).What do you notice about the length of the interval for the mean of 10 rollsversus the mean of 20 rolls? Did you expect this? Why or why not?This is the information you supplied last week belowSampling with a Pair of DiceGo to the link: http://www.random.org/dice/Roll the 2 virtual dice and calculate the sum of the pair of virtual dice. Do this 10times.Then after you have rolled the virtual pair dice 10 times and calculated 10 sumscalculate the average of these 10 sums.Conduct this experiment again but this time roll the virtual pair of dice 20 timesand calculate the 20 sums and then find the average of these 20 sums.Post your results and discussion how does this relates to the Central LimitTheorem.

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