(3) A random sample of 51 fatal crashes in 2009 in which the driver had a...

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(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.

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3 a TRADITIONAL METHOD given that sample mean x 0167 standard deviation s 001 sample size n 51 I standard error sd sqrtn where sd standard deviation n sample size standard error 001 sqrt 51 0001 II margin of error t 2 standard error where ta2 ttable value level of significance 002 from standard normal table two tailed value of t 2 with n1 50 df is 2403 margin of error 2403 0001 0003 III CI x margin of error confidence interval 0167 0003 0164 017 DIRECT METHOD given that See Answer

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