Lightbulbs of a certain type are advertised as having an average lifetime of 750O 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 40 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 1ifetime 40 738.14 37.91 5.99 -1.93 0.027 What conclusion would be appropriate for a significance level of 0.05? 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 sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 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. O Reject the null hypothesis. There is not 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 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 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 Do not 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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 40
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
40
738.44
37.91
5.99
-1.93
0.027
What conclusion would be appropriate for a significance level of 0.05?
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 sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours.
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.
O Reject the null hypothesis. There is not 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 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 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 Do not 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.
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 40 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 40 738.44 37.91 5.99 -1.93 0.027 What conclusion would be appropriate for a significance level of 0.05? 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 sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 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. O Reject the null hypothesis. There is not 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 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 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 Do not 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.
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