A light bulb manufacturer wishes to estimate the mean lifetime (in hours) of its new "long-life" bulb. Thirty bulbs were tested and the lifetime was recorded for each. The mean of the sample was 1,450 hours and the standard deviation of the sample was 150 hours. Assuming all conditions for inference are satisfied, what is the 99% confidence interval for µ, the mean lifetime of the new "long-life" bulb?

A light bulb manufacturer wishes to estimate the mean lifetime (in hours) of its new "long-life" bulb. Thirty bulbs were tested and the lifetime was recorded for each. The mean of the sample was 1,450 hours and the standard deviation of the sample was 150 hours. Assuming all conditions for inference are satisfied, what is the 99% confidence interval for µ, the mean lifetime of the new "long-life" bulb?



(A) 1450 ± 2.750(150/v30)
(B) 1450 ± 2.756(150/v30)
(C) 1450 ± 2.750(150/v29)
(D) 1450 ± 2.756(150/v29)
(E) 1450 ± 0.8389(150/v29)




Answer: B


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