1 A computer scientist is investigating the usefulness of tw

1.) A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are asked to code a standard function in both languages. The time it takes the programmers to write the code obtained. The time, in minutes, can be found in the file, in tables below.

a.)Produce a normal probability plot for the difference in times between the two different design languages. Does the difference in times appear to be normally distributed? (5 points)

b.)Conduct a hypothesis test at the a=0.05 level of significance to determine if there is a difference in mean coding times between the two design languages. (5 points)  

c.)Calculate the corresponding confidence interval for the hypothesis test above. Briefly explain what it is telling you in terms of which design language, if any, takes longer to code. (2.5 points)

Programmer

Time for Design Language 1

Time for Design Language 2

1

17

18

2

16

14

3

21

19

4

14

11

5

18

23

6

24

21

7

16

10

8

14

13

9

21

19

10

23

24

11

13

15

12

18

20

Solution