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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

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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: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) |
- 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
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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