• 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 s = 2.41). • What do you notice about the RANGE of the interval for the mean of 10 rolls versus the mean of 20 rolls? Finish this rule: As the samples size increases, the range of the confidence interval (increases/decreases - pick one). • Using your mean for 20 rolls, calculate the 90% confidence interval. Compare the range of the confidence interval for 90% to 95%. Finish this rule: As the confidence level increases, the range of the confidence interval (increases/decreases - pick one).

• 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 s = 2.41). • What do you notice about the RANGE of the interval for the mean of 10 rolls versus the mean of 20 rolls? Finish this rule: As the samples size increases, the range of the confidence interval (increases/decreases - pick one). • Using your mean for 20 rolls, calculate the 90% confidence interval. Compare the range of the confidence interval for 90% to 95%. Finish this rule: As the confidence level increases, the range of the confidence interval (increases/decreases - pick one).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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