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The quality control manager at a lgt bub tactory needs to estimate the mean lite of a large shipment of ight bulbs. The standard devation is 81 hours. A random mean life of 320 hours. Complete parts (a) through (d) below a. construct a 95% confidence interval estimate for the population mean ure of light bulbs in this srpment The 95% confidence interval estimate is from a lower limit or (Round to one decimal place as needed ) b. Do you think that the manufacturer has the right to state that the lightbuibs have a mean lfe of 370 hours? Explain Based on the sample data, the manufacturer hours to an upper lim of hours the right to state that the lightbuibs have a mean life of 370 hours. A mean of 370 hours is standard vthat the ligntbulbs have a mean life of 370 hours c. Must you assume that the population light bulb life is normalily distributed? Explain he rem A No, since ơ is known and the sample size is large enough the sampling distribution of the mean is approximately normal by the central Limit OB. No, since a is known, the sampling distribution of the mean does not need to be approximately normally distributed O C. Yes, the sample size is too large for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem D. Yes the samole sive is not larne enounh for the samolinn distribution of the mean to he annenximatew normal hw the Central I imt Thearem
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Dear student sample size is only visible two digit 36 and i'm not sure whether it was 36 or something else. Solution is provided by taking sample size 36 only .Please comment below if it differs. Thank you!

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