please only solve question D.

The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 81 hours. A random sample of 36 light bulbs indicated a sample mean life of 270 hours. Complete parts (a) through (d) below. The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment o a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. The 95% confidence interval estimate is from a lower limit of 243.5 hours to an upper limit of hours. (Round to one decimal place as needed.) b. Do you think that the manufacturer has the right to state that the lightbulbs have a mean life of 330 hours? Explain. b. Do you think that the manutacturer has the right to state that the lightbulbs have a mean life of 330 hours? Explain. Based on the sample data, the manufacturer does not have the right to state that the lightbulbs have a mean life of 330 hours. A mean of 330 hours is more than 4 standard errors the sample mean, so it is that the lightbulbs have a mean life of 330 hours. c. Must you assume that the population light bulb life is normally distributed? Explain. A. No, since is known, the sampling distribution of the mean does not need to be approximately normally distributed. B. Yes, the sample size is not large enough for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. C. No, since is known and the sample size is large enough, the sampling distribution of the mean is approximately normal by the Central Limit Theorem. D. Yes. the sample size is too larce for the samblina distribution of the mean to be aonroximatelv D. Yes, the sample size is too large for the sampling distribution of the mean to be approximately normal by the Central Limit Theorem. d. Suppose the standard deviation changes to 66 hours. What are your answers in (a) and (b)? The 95% confidence interval estimate would be from a lower limit of hours to an upper limit of hours. (Round to one decimal place as needed.)