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.
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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