computer scientist is investigating the user two design languages in improving programming tasks. veive exper 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: Programmer 1 Mi 2 3 4 5 6 7 8 9 10 11 12 Design Language 1 Design Language 2 17 16 21 15 18 24 15 14 21 23 13 Time 18 18 S HD Si 14 19 11 24 21 10 13 19 24 15 (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 significant indication that one design language is preferable at a 5% significance level? 21 . Round your answer to 3 decimal places (e.g. 98.765).

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