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:

(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?

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

(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?

(a) The assumption that the difference in coding time is normally distributed (is not or is)reasonable.

(b) The 95% confidence interval is (-------------,------------------ ) Round your answers to 3 decimal places (e.g. 98.765).

There (is or is no) significant indication that one design language is preferable at a 5% significance level.

Explanation / Answer

Here mean difference table is given below

Average Difference = d = 0.5833

standard deviation of difference = sd = 3.204

standard error of difference = 3.204/ sqrt(12) = 0.9249

95% confidence interval = 0.5833 +- t11, 0.05 * sed

= 0.5833 +- 2.201 * 0.9249

= (-1.4524,2.6190)

here there is no desin variable is favourable.  

Programmer Design Language 1 Design Language 2 Difference 1 17 18 -1 2 17 14 3 3 21 18 3 4 14 11 3 5 18 24 -6 6 24 21 3 7 15 10 5 8 14 13 1 9 21 19 2 10 23 24 -1 11 13 15 -2 12 18 21 -3 Average 0.583333 Std Dev 3.203928

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