A polling company wants to test the time (in minutes) required to run two different versions of a new survey questionnaire to prepare costing options for its client. They select a random sample of 9 respondents and administer version A to them. A week later, they recontact the same respondents and administer them version B. The results (in minutes) to complete the two versions of the questionnaire for each respondent is presented in the Assign2Data.xlsx file. (a) Which approach is more appropriate to analyse these data - a paired data approach or two independent samples approach? Explain. I (b) Explain whether a parametric or nonparametric test is more appropriate to test if
A polling company wants to test the time (in minutes) required to run two different versions of a new survey questionnaire to prepare costing options for its client. They select a random sample of 9 respondents and administer version A to them. A week later, they recontact the same respondents and administer them version B. The results (in minutes) to complete the two versions of the questionnaire for each respondent is presented in the Assign2Data.xlsx file. (a) Which approach is more appropriate to analyse these data - a paired data approach or two independent samples approach? Explain. I (b) Explain whether a parametric or nonparametric test is more appropriate to test if
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A polling company wants to test the time (in minutes) required to run two different versions
of a new survey questionnaire to prepare costing options for its client. They select a
random sample of 9 respondents and administer version A to them. A week later, they
recontact the same respondents and administer them version B. The results (in minutes)
to complete the two versions of the questionnaire for each respondent is presented in the
Assign2Data.xlsx file.
(a) Which approach is more appropriate to analyse these data - a paired data approach
or two independent samples approach? Explain. [
(b) Explain whether a parametric or nonparametric test is more appropriate to test if
Version A takes longer time to administer than Version B (mean or median?). [^*
(c) Ignoring your response in (b), perform an appropriate parametric test to see whether
there is enough evidence at a 5% level of significance to show that Version A takes
more time on average to complete than Version B. Show your detailed manual
calculations and all the steps of your hypothesis test (hypotheses, significance level,
test statistic, decision criteria, critical value, decision with justification). (Manual
Calculations
(d) Now, still ignoring your response in (b), perform an appropriate nonparametric test at
a 5% level of significance. Clearly state hypotheses, significance level, test statistic,
decision criteria, and conclusion. (Show your manual calculations and show your
StatCrunch output) |

Transcribed Image Text:-
2
B
1
5
6
7
3
1
0
1
2
3
Respondent
1
2345678
9
Version A
25
29
32
26
21
41
25
25
27
Version BVers.A-Vers. B
18
21
23
20
20
2762
25
17
16
21
7
8
9
6
1
16
600960
8
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