A computer scientist is investigating the usefulness of twodifferent design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are askedto code to code a standard function in both languages, and asked tocode a standard function in both languages, and time (in minutes)is recorded. The data follow:
(a) Is the assumption that the different in coding time isnormally distributed reasonable?
Time
Programmer Design Language 1 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
(b) Find a 95% confident interval on the different in meancoding times. Is there any indication that one designlanguages is preferable?