<p>A computer scientist is investigating the usefulness of two different design
ID: 2958268 • Letter: #
Question
<p>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:<br /><br /> Lang Lang<br /><span>Prg <span> </span> 1   2</span><br />1 <span> </span>17  18<br />2 <span> </span>16  14<br />3 <span> </span>21  19<br />4 <span> </span>14  11<br />5 <span> </span>18  23<br />6 <span> </span>24  21<br />7 <span> </span>16  10<br />8<span> </span>14  13<br />9 <span> </span>21  19<br />10 <span> </span>23  24<br />11 <span> </span>13  15<br />12 <span> </span>18  20</p><table border="1" cellspacing="0" cellpadding="5" align="center">
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<p>(a) Is the assumption that the difference in coding time is normally distributed reasonable?</p>
<p>(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?</p>
Explanation / Answer
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:
Lang Lang
Prg 1 2
1 17 18
2 16 14
3 21 19
4 14 11
5 18 23
6 24 21
7 16 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?
0|6
0|122233
-0|52211
YES: DISTRIBUTION OF DIFFERENCES APPEARS UNIMODAL AND ROUGHLY SYMMETRIC
(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?
-1.217 < < 2.550
BECAUSE 0 IS IN THE INTERVAL THERE IS NO EVIDENCE OF A DIFFERENCE
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