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BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hou doubt this claim and decide to do a statistical test of the claim. We choose a randor. Suppose that we have reason to mple of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that the sample standard deviation of the 00 lifetimes is 600 hours. Based on this information, answer the questions below. test? What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fc Ho: u is ? H: p is ? v ? In the context of this test, what is a Type I error? v ? v when, in v the hypothesis that u is ? v ? A Type I error is ? v. fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?

BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3000 hou doubt this claim and decide to do a statistical test of the claim. We choose a randor. Suppose that we have reason to mple of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that the sample standard deviation of the 00 lifetimes is 600 hours. Based on this information, answer the questions below. test? What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fc Ho: u is ? H: p is ? v ? In the context of this test, what is a Type I error? v ? v when, in v the hypothesis that u is ? v ? A Type I error is ? v. fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 3000 hou doubt this claim and decide to do a statistical test of the claim. We choose a randor. Suppose that we have reason to mple of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that the samnle standard deviation of the lifetimes is 600 hours. Based on this information, answer the questions below. test? What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fc H,: µ is ? H,: µ is ? In the context of this test, what is a Type I error? v the hypothesis that p is ? v ? v when, in A Type I error is ? v ? fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ? >> 2'
Transcribed Image Text:BIG Corporation advertises that its light bulbs have a mean lifetime, µ, of 3000 hou doubt this claim and decide to do a statistical test of the claim. We choose a randor. Suppose that we have reason to mple of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that the samnle standard deviation of the lifetimes is 600 hours. Based on this information, answer the questions below. test? What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fc H,: µ is ? H,: µ is ? In the context of this test, what is a Type I error? v the hypothesis that p is ? v ? v when, in A Type I error is ? v ? fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ? >> 2'
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Given Information :

BIG corporation advertises that its light bulbs have a mean lifetime , mu of 3000 hour . Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim . We choose a random sample of ligh bulbs manufactured by BIG and find that the mean lifetime for this sample is 2860 hours and that  the sample standard deviation of the lifetimes is 600 hours . 

Provided : 

x¯=2860 hrss=600 hrs Hypothesizes mean : μ0 = 3000 hrs 

State the hypothesis : 

H0 : Light bulbs have a mean lifetime of 3000 hour . 

                                 μ = 3000           

H1 : Light bulbs does have a mean lifetime of 3000 hour . 

                                 μ ≠ 3000    

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