Statistics Homework: Hypothesis Testing and Errors, Assignments of Statistics

Download Statistics Homework: Hypothesis Testing and Errors and more Assignments Statistics in PDF only on Docsity! Homework #8 30 Points Directions for problems 1-3 provide the following: 1. Null and alternative hypothesis 2. Distribution of the test statistic under the null hypothesis 3. Critical value(s) 4. Rejection rule using the critical value approach 5. Rejection rule using the p-value approach 6. Observed value of the test statistic 7. P-value 8. Decision 9. Conclusion Note: I’ve labeled the populations so that you all start from the same place in order to make it easier to grade. This will not be the case on the exam. 1. Fred and Chet have been arguing about who is the better bowler. To settle the argument, they each randomly select 6 bowling scores from their bowling journals and get the following scores: Fred 219 151 176 229 192 165 Chet 198 196 205 206 190 173 Use a level of significance of 0.05. Population 1: Fred Population 2: Chet Homework #8 30 Points 2: Due to a depressed munchkin economy, the wicked witch of the west has been forced to consider budgetary cutbacks in various areas. She’s considering switching to the generic brand of potion given to the flying monkeys that keeps them evil. She feels the switch is not worthwhile if the number of evil deeds decreases significantly (at the 0.10 level of significance) so she changes to the cheaper potion for one month on a trial basis to evaluate its performance and gets the following data: Regular Generic Monkey Potion Potion Charles 15 17 Joanne 20 16 Susan 8 5 Monty 23 18 Rose 27 21 Oscar 28 25 Population 1: Regular potion Population 2: Generic potion