You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 12 randomly selected non-residential college students. Round answers to 3 decimal places where possible.   20 28 19 26 11 21 20 10 6 18 18 11   a. To compute the confidence interval use a  ___   distribution. b. With 98% confidence the population mean commute for non-residential college students is between ____  and ____  miles. c. If many groups of 12 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population mean number of commute miles and about _____  percent will not contain the true population mean number of  commute miles.

MATLAB: An Introduction with Applications
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You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 12 randomly selected non-residential college students. Round answers to 3 decimal places where possible.

 

20 28 19 26 11 21 20 10 6 18 18 11

 

a. To compute the confidence interval use a  ___   distribution.

b. With 98% confidence the population mean commute for non-residential college students is between ____  and ____  miles.

c. If many groups of 12 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population mean number of commute miles and about _____  percent will not contain the true population mean number of  commute miles. 

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Givensample size(n)=12sample mean(x¯)=17.3333standard deviation(s)=6.6241degrees of freedom (df)=n-1df=12-1=11α=1-0.98=0.02α2=0.01t0.01(11)=2.718   (from t-table)

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