Jane, a statistics student, wants to build a confidence interval with a 95% confidence level for the mean commuting distance of all IUPUI students. She selects a random sample of students and obtains the following commuting distance data. The data show the distance from the student residence to the campus in miles).

16.5 16.3 10.9 19.7 13.2 2 9.2 13.3

19.2 14.7 8.5 10.5 18.1 10.1 15.8 14.6

8.3 13.5 9 14.5 13.9 9.1 18.4 5

20.1 14.9 7 13.3 12.6 15.6 11.6 7.1

14.8 17.9 14.3 19.8 12.5 18.9 15.2 11.8

14.3 10 4.9 14.9 18.9 15.8 9.9 15.4

11.3 17.2 7.8 18 17.9 15.6 15.9 15.4

9 11 17.7 7.7 10.3 7.7 12.7 8.9

10.2 17.9 14.7 13.4 21.7 10.7 3.3 9.7

15.7 14.3 11.6 13.6 19 14.1 8.5 15.7

9 The standard error of the mean is,

a 0.676

b 0.563

c 0.469

d 0.391

10 The interval estimate is,

a 12.24 14.11

b 11.80 14.55

c 11.36 14.99

d 10.91 15.44