(a) Is the assumption that the difference in coding time is normally distributed reasonable? (b) Find a 95% confidence interval on the difference mean coding times. Is there significant indication that one design language is preferable at a 5% significance level? i ≤ MD= i Round your answer to 3 decimal places (e.g. 98.765).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A computer scientist is investigating the usefulness of twodifferent design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are askedto code to code a standard function in both languages, and asked tocode a standard function in both languages, and time (in minutes)is recorded. The data follow:

Programmer
1
2
3
4
5
6
7
8
9
10
11
12
Design Language 1 Design Language 2
17
15
21
15
18
24
17
14
21
23
Time
13
18
18
14
19
11
22
21
10
13
19
24
15
20
Transcribed Image Text:Programmer 1 2 3 4 5 6 7 8 9 10 11 12 Design Language 1 Design Language 2 17 15 21 15 18 24 17 14 21 23 Time 13 18 18 14 19 11 22 21 10 13 19 24 15 20
(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
≤ MD ≤ i
. Round your answer to 3 decimal places (e.g. 98.765).
Transcribed Image Text:(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 ≤ MD ≤ i . Round your answer to 3 decimal places (e.g. 98.765).
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