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Question 6. Please answer all parts that are nor answered or blanked. Please do

ID: 3312821 • Letter: Q

Question

Question 6. Please answer all parts that are nor answered or blanked. Please do not skip any part. I will give you thumbs up

6. 3 points DevoreStat9 8.E.020. My Notes Ask Your Teacher Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 44 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output Variable Mean StDe SEMean lifetime 44 738.44 37-72 z P-Value 5.69-2.030.021 What conclusion would be appropriate for a significance level of 0.05? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. What conclusion would be appropriate for a significance level of 0.01? Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not rejet the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is lessthan 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours What significance level and conclusion would you recommend and why? This answer has not been graded yet

Explanation / Answer

Given

P value = 0.021

A) significance level = 0.05

Alpha = 0.05

0.021<0.05

P value < alpha

So there is sufficient data to reject the null hypothesis hence it is concluded that the lifetime of bulbs is less than 750 hours

Option D is correct answer

B) given level of significance = 0.01

Alpha =0.01

0.021>0.01

P value > alpha

Hence there is no sufficient evidence to reject null hypothesis so the test is failed to reject null hypothesis hence conclude the lifetime does not decrease

Option C is correct answer

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