Activity8-ErrorsAndPower-AnswerSheet (1)

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Michigan State University *

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200

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Statistics

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Feb 20, 2024

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pdf

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1

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STT 200 – Statistical Methods Fall 2023 Recitation Activity 8 Answer Sheet Decision Errors and Power Name:__________________________________ Section: _________ Task 2 Responses: 4. What is a Type I error in this scenario? 5. What is a Type II error in this scenario? 6. Which type of error do you think the manufacturer should most try to avoid? Why? 7. What is the chance the manufacturer will make a Type I error with the decision rule? __________________ 8. Using the same decision rule, what is the power of the hypothesis test if the true mean for the batteries is 9 minutes? _________________ 9. Name two things the manufacturers could change about the testing scenario to decrease the Type I error rate , and how they should change them. 10. Name two things the manufacturers could change about the testing scenario to increase the power , and how they should change them. 11. Sample size: __________ Decision rule: ________________________________________________________________ Alternate mean: ____________ Bee Miller To stop the machinery to run an inspection when it is not necessary. To not stop the machinery when an adjustment is needed. I feel that a type 2 error would be the bets to avoid because it would cause damage to the comapny's reputation. 0.0386 0.3293 Increased sample size or decision rule to be less than 8.5. Decision rule should be more thab 8.5 or they could decrease the alternate mean. 5 6 15
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