Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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: Programmer Time Design Language 1 Design Language 2 1 17 18 2 17 14 3 21 19 4 13 11 5 18 23 6 24 21 7 15 10 8 14 13 9 21 19 10 23 24 11 13 15 12 18 20 (a) Is the assumption that the difference in coding time is normally distributed reasonable? Yes. (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? No. HD i . Round your answer to 3 decimal places (e.g. 98.765). Statistical Tables and Charts