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, and the time (in minutes) is recorded. The data follow:

(a) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?
(b) Is the assumption that the difference in coding time is normally distributed reasonable? Show evidence to support your answer.

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Time Design Design Language Language Programmer 17 18 1 2 16 14 3 21 19 14 4 11 18 23 24 21 6. 16 10 14 13 21 19 10 23 24 11 13 15 12 18 20