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HW_Hyp_Tests_Part2_Solutions

# 18 5 so our probability is small enough to be

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Unformatted text preview: H1 Show the reason for your conclusion (to prove you weren’t just guessing): P-value < Significance Level 2.18% < 5% So our probability is small enough to be considered unusual Which one is your conclusion “in context” (Click in the box next to your choice): “There is not sufficient evidence at the 0.05 significance level to support the claim the mean distance between the retaining rings is different from 0.875 inch. “There is sufficient evidence at the 0.05 significance level to support the claim the mean distance between the retaining rings is different from 0.875 inch. b) Find a 95% confidence interval for the mean distance between the retaining rings for all bearings produced by this manufacturing process. The name of the TI-83/84 calculator function you will be using: TInterval State your answer in words: We are 95% confident that the population mean (mean distance between the retaining rings for ALL bearings produced by this manufacturing process) is between 0.87131 and 0.87469 inch. NOTE: The hypothesize population mean of 0.875 is NOT in this interval, so it agrees with our Hypothesis Test (but it was CLOSE!) c) What would a Type I Error be in this case? (You need to mention H0 and H1 in your answer – i.e. Just saying “False Alarm” or “Missed Opportunity” is NOT enough). We conclude "Reject H0 and Accept H1", but we are wrong just because of sampling error. So the mean distance between the retaining rings for ALL bearings produced by this manufacturing process is 0.875, but we said it was different. This is a False Alarm. The Null Hypothesis was correct but we rejected it. d) What would a Type II Error be in this case? (You need to mention H0 and H1 in your answer – i.e. Just saying “False Alarm” or “Missed Opportunity” is NOT enough). We conclude "Failed to Reject H0", but we are wrong just because of sampling error. So the mean distance between the retaining rings for ALL bearings produced by this manufacturing process is different from 0.875, but we failed to catch it....
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