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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 41 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable lifetime St Dev 37.14 What conclusion would be appropriate for a significance level of 0.05? O Do not 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. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. N Mean 41 738.44 SEMean 5.80 Z -1.99 What significance level and conclusion would you recommend and why? P-Value 0.023 What conclusion would be appropriate for a significance level of 0.01? O Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O 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 reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours.

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 41 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable lifetime St Dev 37.14 What conclusion would be appropriate for a significance level of 0.05? O Do not 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. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. N Mean 41 738.44 SEMean 5.80 Z -1.99 What significance level and conclusion would you recommend and why? P-Value 0.023 What conclusion would be appropriate for a significance level of 0.01? O Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O 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 reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. O Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 41 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable lifetime St Dev 37.14 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. O Reject the null hypothesis. There is 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. N 41 Mean 738.44 SEMean 5.80 Z -1.99 What significance level and conclusion would you recommend and why? P-Value 0.023 What conclusion would be appropriate for a significance level of 0.01? Reject the null hypothesis. There is 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 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 not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours.
Transcribed Image Text: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 41 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable lifetime St Dev 37.14 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. O Reject the null hypothesis. There is 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. N 41 Mean 738.44 SEMean 5.80 Z -1.99 What significance level and conclusion would you recommend and why? P-Value 0.023 What conclusion would be appropriate for a significance level of 0.01? Reject the null hypothesis. There is 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 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 not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours.
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