A computer scientist is investigating the usefulness of two different design lan

Question

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) 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?

Programmer Design Language 1 Design Language 2 1 17 18 2 16 14 3 21 18 4 15 11 5 18 22 6 24 21 7 15 10 8 14 13 9 21 19 10 23 24 11 13 15 12 18 19

Explanation / Answer

Perform an appropriate test of hypothesis to determine whether the average time for coding is greater for Design Language 1 than for Design Language 2. Use = .05. Write the complete report. (20 points) H0 µd = 0 H1 µd > 0 Assumptions Paired data Differences are normally distributed Region of rejection reject H0 if T>1.796 Computation T = 0.667 2.964 / 12 = .7795 Reject or fail to reject H0 Fail to reject H0 Conclusion –Statement in ordinary English There does not appear to be a significant difference in the coding time for the two languages

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