IDS371_HW01_Solution_Q1

IDS371_HW01_Solution_Q1 - HW01 Homework assignment number 1...

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HW01 – Homework assignment number 1 – Review material and CI and hypothesis testing. To be assured that there is no problem if your assignment per chance is lost you should electronically submit the answers as a MS Word document, with any Excel or Minitab work pasted into that document, to our Blackboard site in addition to submitting a printed copy in class at the beginning of the class. For all questions, where appropriate, show hand calculations and provide equivalent Minitab analysis that verify your answers. You may use Minitab descriptive statistics (mean and variance) instead of computing those by hand. In addition, your answers must explain the physical situation and conclusions drawn from the analysis. Simply showing computer output and leaving interpretation to the reader is not viable. The practice exam questions are multiple choice but to get credit for these you must show the calculations or reasoning you used to arrive at the answers. 1. (24 points) Using data from table 1.8 in chapter 1 of the textbook and converting the numbers to $1,000 units instead of units of dollars as given, Worker Earnings Earnings_BF Earnings_BM Earnings_WF Earnings_WM BF 16.02 16.02 18.37 25.25 15.10 BF 17.52 17.52 17.76 19.03 22.35 BF 17.27 17.27 16.89 17.23 22.05 BF 16.56 16.56 17.15 26.61 26.97 BF 20.79 20.79 18.40 28.35 16.41 BF 19.31 19.31 20.97 31.18 19.27 BF 17.12 17.12 24.75 18.86 28.34 BF 18.41 18.41 16.58 15.90 19.01 BF 19.09 19.09 16.85 22.48 22.08 BF 12.64 12.64 21.57 19.10 19.98 BF 17.81 17.81 29.35 18.00 17.19 BF 18.21 18.21 19.03 21.60 30.38 BF 19.34 19.34 26.89 18.36 BF 15.95 15.95 24.78 18.25 BF 16.90 16.90 14.70 23.53 BM 18.37 19.31 BM 17.76 17.58 BM 16.89 24.50 BM 17.15 20.61 BM 18.40 17.76 BM 20.97 BM 24.75 BM 16.58 BM 16.85 BM 21.57 BM 29.35 BM 19.03 WF 25.25 WF 19.03
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WF 17.23 WF 26.61 WF 28.35 WF 31.18 WF 18.86 WF 15.90 WF 22.48 WF 19.10 WF 18.00 WF 21.60 WF 26.89 WF 24.78 WF 14.70 WF 19.31 WF 17.58 WF 24.50 WF 20.61 WF 17.76 WM 15.10 WM 22.35 WM 22.05 WM 26.97 WM 16.41 WM 19.27 WM 28.34 WM 19.01 WM 22.08 WM 19.98 WM 17.19 WM 30.38 WM 18.36 WM 18.25 WM 23.53 Numeric and graphic descriptive statistics for each category, including 5 number summary for each category. Use Minitab to perform these computations but provide full explanations. Descriptive Statistics: Earnings, Earnings_BF, Earnings_BM, Earnings_WF, . .. Total Variable Count Mean SE Mean StDev Variance Minimum Q1 Median Earnings 62 20.154 0.526 4.141 17.144 12.641 17.223 19.017 Earnings_BF 15 17.529 0.493 1.910 3.647 12.641 16.555 17.516 Earnings_BM 12 19.80 1.11 3.86 14.86 16.58 16.95 18.38 Earnings_WF 20 21.48 1.02 4.54 20.64 14.70 17.82 19.96 Earnings_WM 15 21.28 1.15 4.47 19.98 15.10 18.25 19.98
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Variable Q3 Maximum Range IQR Earnings 22.145 31.176 18.535 4.922 Earnings_BF 19.090 20.788 8.147 2.535 Earnings_BM 21.42 29.35 12.77 4.46 Earnings_WF 25.13 31.18 16.48 7.31 Earnings_WM 23.53 30.38 15.28 5.29 99.7% CI’s for population mean for each category. For this part compute the answers manually in addition to using Minitab, except you can use Minitab descriptive statistics. Explain the meaning of the arrived at CI and compare it to the respective point estimators. 30 25 20 15 Median Mean 22 21 19 18 1st Quartile 17.223 Median 19.017 3rd Quartile 22.145 Maximum 31.176 18.528 21.780 17.732 21.047 3.250 5.600 A-Squared 2.43 P-Value < 0.005 Mean 20.154 StDev 4.141 Variance 17.144 Skewness 1.00608 Kurtosis 0.36258 N6 2 Minimum 12.641 Anderson-Darling Normality Test 99.7% Confidence Interval for Mean 99.7% Confidence Interval for Median 99.7% Confidence Interval for StDev 99.7% Confidence Intervals Summary for Earnings
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20 18 16 14 Median Mean
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IDS371_HW01_Solution_Q1 - HW01 Homework assignment number 1...

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