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: Time Programmer Design Language 1 Design Language 2 17 18 2 17 14 3 21 20 13 11 18 23 6 24 21 7 16 10 14 13 9 21 19 10 23 24 13 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? i . Round your answer to 3 decimal places (e.g. 98.765)