(3) A random sample of 51 fatal crashes in 2009 in which thedriver had a positive blood alcohol concentration (BAC) from theNational Highway Traffic Safety Administration results in a meanBAC of 0.167 grams per deciliter (g/dL) with a standard deviationof 0.010 g/dL.
(a) What is a point estimate for the mean BAC of all fatalcrashes with a positive BAC?
(b) In 2009, there were approximately 25,000 fatal crashes inwhich the driver had a positive BAC. Explain why this, along withthe fact that the data were obtained using a simple random sample,satisfies the requirements for constructing a confidenceinterval.
(c) Determine and interpret a 98% confidence interval for themean BAC in fatal crashes in which the driver had a positive BAC.Do not use the T-Interval or Z-Interval features of yourcalculator.