]It is widely known that alcohol related car accidents can havea big impact on people’s lives. One widely reported statistic isthat the mean number of “years of potential life lost†among men is32, but it was computed several years ago. Researchers want to knowif this statistic has changed since the data were first compiled,with a significance level of 5%. A random sample of 24 alcoholrelated fatalities from this moth had a mean “years of potentiallife lost†of 33.8 and a standard deviation of 6 years.
a. [7 points] Construct a confidence interval around the samplemean at 95% Confidence Level.
b. [7 points] Based on the confidence interval, how would youdecide about the hypothesis that the mean statistic of “years ofpotential life lost†has remained the same (at 5% level ofsignificance)?
