A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers who are familiar with both languages are asked to code a standard function in both languages and the time (in minutes) is recorded. The data follow:

(a) Is the assumption that the difference in coding time is normally distributed reasonable?

(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?

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Time Programmer Design Language Design Language 2 17 18 2 16 14 3 21 19 4 14 11 18 23 24 21 16 10 8. 14 13 21 19 10 23 24 11 13 15 12 18 20