BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 3200 hours. Suppose we have good reason to believe that μ is different from 3200 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3380 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? μ x H 1 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? Type I (c) Suppose the true mean lifetime of BIG's light bulbs is 3200 hours. Fill in the blanks to describe a Type I error. A Type I error would be rejecting the hypothesis that u is less than or equal to ▼ 600 when, in fact, μ is equal to 3380 □□ □□ ロ=ロ 밈 □<ロ □≠□ G

BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 3200 hours. Suppose we have good reason to believe that μ is different from 3200 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3380 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? μ x H 1 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? Type I (c) Suppose the true mean lifetime of BIG's light bulbs is 3200 hours. Fill in the blanks to describe a Type I error. A Type I error would be rejecting the hypothesis that u is less than or equal to ▼ 600 when, in fact, μ is equal to 3380 □□ □□ ロ=ロ 밈 □<ロ □≠□ G

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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