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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
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 Mean St Dev SEMean Z P-Value lifetime 43 738 . 44 37.59 5.73 -2.02 0 . 022 What conclusion would be appropriate for a significance level of 0.05? 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 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. 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. 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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