) For the next six questions, use the data fileFreshmenDinner.xlsx.This data represents the number of times freshmen students from Utah and Colorado cook their own dinner in a month. Let1

1

represent the mean number of times a month that a student from Colorado cooks dinner, and let2

2

represent this mean for Utah students.

You suspect that freshmen from Utah cook dinner for themselves a different number of times than freshmen from Colorado. Perform a hypothesis test to determine if your suspicion is correct. The null hypothesis isHa:1=2H

a

:

1

=

2

. Use a level of significance of=0.05

=

0.05

.

Determine the margin of error for this 95% confidence interval?

Freshman students from utah

20

22

17

19

16

18

9

17

15

19

14

14

Freshman students from Colorado

13

14

7

20

17

18

11

12

21

19

(explain work)