A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are found to have positive BAC values. He randomly selects records from 51 such drivers in 2009 and determines the sample mean BAC to be 0.16g/dL with a standard deviation of 0.080 g/dl. complete parts (A) through (C) below.

(A) A histogram of blood alcohol concentration in fatal accidents shows that BACs are highly skewed right. Explain why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC.
(c)Since the distribution of blood alcohol concentration is highly skewed right, a large sample size is necessary to ensure that the distribution of the sample mean is approximately normal.
(B)Recently there were approximately 25,000 fatal crashes in which the driver had a positive BAC. Explain why this, along with the fact that the data were obtained using a simple random sample, satisfies the requirements for constructing a confidence interval.
(d)The sample size is less likely less than 5% of the population
(C)Determine and interpret a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC. Select the Correct choice below and fill in the answer boxes to complete your choice.
(b)The researcher is 90% confident that the population mean BAC is not between {?} and {?} for drivers involved in fatal accidents who have a positive BAC value.