Sleeping outlier. A simple random sample of ten college freshmen were asked how

Question

Sleeping outlier. A simple random sample of ten college freshmen were asked how many hours of sleep they typically got per night. The results were Notice that one joker said that he sleeps 24 hours a day. Part 1 out of 3 The data contain an outlier that is clearly a mistake. Eliminate the outlier, then construct a 98% confidence interval for the mean amount of sleep from the remaining values. Round the answers to two decimal places. A 98% confidence interval for the mean amount of sleep from the remaining values is

Explanation / Answer

mean=(8.5+8+6.5+7.5+6+9+8.5+6.5+9.5)/9=70/9=7.78

Confidence interval = sample statistic + Margin of error

Confidence Interval for a Population Mean

     x±ts/n

df=9-1=8 and 98% ==> t=2.896

Calculate standard deviation of sample(s)

Confidence interval is (7.78 - 2.896*(s/3) , 7.78 + 2.896*(s/3) )

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