Analyzing Customer Data and Z-Scores
Added on 2020-02-19
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Running Head: STATISTICSTitle :bus105 computing assignment semester 2, 2017Name:Student number: 11700304Allocated sample: 73
1STATISTICSTable of ContentsSection 1..........................................................................................................................................3Part A...........................................................................................................................................3Part B............................................................................................................................................3Part C............................................................................................................................................3Part D...........................................................................................................................................3Part E............................................................................................................................................3Section 2..........................................................................................................................................4Part A...........................................................................................................................................4Part B............................................................................................................................................5Part C............................................................................................................................................5Part D...........................................................................................................................................5Part i.........................................................................................................................................5Part ii........................................................................................................................................5Part iii.......................................................................................................................................6Part iv.......................................................................................................................................6Part E............................................................................................................................................6Part i.........................................................................................................................................6Part ii........................................................................................................................................6Part iii.......................................................................................................................................6Part iv.......................................................................................................................................6Section 3..........................................................................................................................................7Part A...........................................................................................................................................7Part B............................................................................................................................................7Part C............................................................................................................................................7Part D...........................................................................................................................................7Part i.........................................................................................................................................7Part ii........................................................................................................................................8Part iii.......................................................................................................................................8
2STATISTICSPart iv.......................................................................................................................................8Part E............................................................................................................................................8Part i.........................................................................................................................................8Part ii........................................................................................................................................8Part iii.......................................................................................................................................9Part iv.......................................................................................................................................9Section 4..........................................................................................................................................9Part A...........................................................................................................................................9Part B............................................................................................................................................9Part C............................................................................................................................................9Part i.........................................................................................................................................9Part ii......................................................................................................................................10Part iii.....................................................................................................................................10Part D.........................................................................................................................................10Section 5........................................................................................................................................10Section 6........................................................................................................................................11
3STATISTICSSection 1Part AFigure 1: Relation of Annual Contribution to IncomeThe above scatter plot represents the relation of annual contribution to income. From the scatter plot it can be seen that the annual contribution increases with increase in income. The relation can be represented as: Annual Contribution = 0.134*Income - 1359 Part BWhen the income is $200,000 the annual contribution would be: Annual Contribution = 0.134*200000 – 1359 = $25,441Part CThe average of the estimate is $27,000. The standard deviation is $2,100. The z-score is given by: z=value−meanstandarddeviation=x−μσ=25441−270002100=−15592100=−0.74Thus the z-score is -0.74Part DThe P(Z<-0.74) = 0.22965Part EExpected Rank = 0.22965*10,000 = 2296.5Hence, expected rank = 2297
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