• What is a confidence interval?
• What are some factors that affect the size of a confidence interval?
• 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= 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 20rolls, calculate the 90% confidence interval.Explain its size as compared to the 95% confidence interval for 20 rolls.

Last weeks rolls for 10 times was 64/10=6.4

Last weeks roll for 20 times was 132/20=6.6