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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 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB resulting in the accompanying output. Variable Mean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 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. 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. Do not 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? 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 significance level and conclusion would you recommend and why?

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 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB resulting in the accompanying output. Variable Mean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 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. 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. Do not 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? 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 significance level and conclusion would you recommend and why?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable N Мean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 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. O Reject the null hypothesis. There is not 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. What conclusion would be appropriate for a significance level of 0.01? 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. 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. o 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?
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 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. Variable N Мean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 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. O Reject the null hypothesis. There is not 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. What conclusion would be appropriate for a significance level of 0.01? 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. 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. o 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?
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