Answered: the DM has deduced that if all dice…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 6CR

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For each problem, make sure to include all 5 steps for thoroughly testing hypotheses: a) State hypotheses. b) Calculate the Test Statistic. c) Calculate the p-value. d) State your decision. e) State your conclusion. Problem 1: A certain DM believes one of his D&D players may be cheating when rolling ability scores for his characters. Using advanced statistical methods, the DM has deduced that if all dice used for rolling are fair, the method of rolling discussed in the 5E Player's Handbook should produce ability scores that have an approximately bell-shaped distribution with a population mean of about 12.25 and a population standard deviation of about 2.85. The player in question rolled the following ability scores for his last four characters (making 24 scores in total ordered from least to greatest) : 7 8 9 10 10 11 11 12 12 13 13 14 14 14 15 15 15 16 16 17 17 18 18 18 Again, since the DM is statistically savvy, he is resolved to confront the player only if he can establish that the player rolled a mean score significantly higher than the expected mean at the .05 significance level. Based on this, does he have evidence that the player may have cheated? Problem 2: A market researcher recently sent out a survey to determine if the percentage of adults who use social media has chanded from 68%. which was the percentage of adults who used social media seven years ago. She found that of the 467 people who responded to survey, 336 stated that they currently use social media. At the .02 significance level, do we have evidence that that the percentage of adults who use social media has changed?

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