Score: Week 4 Confidence Intervals and Chi Square (Chs 11 - 12) For questions 3 and 4 below, be sure to list the null and alternate hypothesis statements. Use .05 for your si For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculation Using our sample data, construct a 95% confidence interval for the population's me Interpret the results. How do they compare with the findings in the week 2 one sam Mean St error t value Low to Males Females for the mean salary difference between the genders in the population. High ampe t-test)? a better choice than using 2 one-sample techniques when comparing two samples? ation do not impact compa rates. ss the grades and genders. es by grade? enough to perform this test, ignore this limitation for this exercise.) If desired, you can do manual calculations per cell here. A B C D E F M Grad Fem Grad Male Und Female Und Sum = For this exercise - ignore the requirement for a correction factor for cells with expected values less than 5. females are distributed across grades in a similar pattern Do manual calculations per cell here (if desired) A B C D E M F Sum = F equal work? ID Salary Compa Midpoint Age 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 64.4 27.4 35.6 62.3 48.7 75 41.8 23.7 76.8 24 23.9 62.5 42.7 23.4 23.3 48.7 65.1 34.6 24.5 34.9 76.5 57.8 22.7 56.5 24.5 23.2 46.8 76.6 75.9 47.4 25.3 27.2 66 28.1 22.5 22.7 23.4 58.5 35.5 24.8 1.130 0.884 1.148 1.093 57 31 31 57 48 67 40 23 67 23 23 57 40 23 23 40 57 31 23 31 67 48 23 48 23 23 40 67 67 48 23 31 57 31 23 23 23 57 31 23 34 52 30 42 36 36 32 32 49 30 41 52 30 32 32 44 27 31 32 44 43 48 36 30 41 22 35 44 52 45 29 25 35 26 23 27 22 45 27 24 1.014 1.120 1.046 1.029 1.147 1.044 1.041 1.096 1.067 1.016 1.012 1.217 1.142 1.116 1.065 1.125 1.142 1.204 0.987 1.177 1.064 1.010 1.171 1.144 1.133 0.987 1.101 0.878 1.158 0.907 0.980 0.985 1.017 1.026 1.144 1.078 Performance Service Gender Raise Rating 85 80 75 100 90 70 100 90 100 80 100 95 100 90 80 90 55 80 85 70 95 65 65 75 70 95 80 95 95 90 60 95 90 80 90 75 95 95 90 90 8 7 5 16 16 12 8 9 10 7 19 22 2 12 8 4 3 11 1 16 13 6 6 9 4 2 7 9 5 18 4 4 9 2 4 3 2 11 6 2 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 5.7 3.9 3.6 5.5 5.7 4.5 5.7 5.8 4 4.7 4.8 4.5 4.7 6 4.9 5.7 3 5.6 4.6 4.8 6.3 3.8 3.3 3.8 4 6.2 3.9 4.4 5.4 4.3 3.9 5.6 5.5 4.9 5.3 4.3 6.2 4.5 5.5 6.3 41 42 43 44 45 46 47 48 49 50 45.8 22.2 77.4 58.8 51.2 61.3 64.3 67.6 61.3 66.1 1.144 0.965 1.155 1.032 1.066 1.076 1.128 1.186 1.075 1.159 40 23 67 57 48 57 57 57 57 57 25 32 42 45 36 39 37 34 41 38 80 100 95 90 95 75 95 90 95 80 5 8 20 16 8 20 5 11 21 12 0 1 1 0 1 0 0 1 0 0 4.3 5.7 5.5 5.2 5.2 3.9 5.5 5.3 6.6 4.6 Degree Gender 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 M M F M M M F F M F F M F F F M F F M F M F F F M F M F M M F M M M F F F M F M Gr E B B E D F C A F A A E C A A C E B A B F D A D A A C F F D A B E B A A A E B A The ongoing question that the weekly assignments will focus on is: Are males and fema Note: to simplfy the analysis, we will assume that jobs within each grade comprise equa The column labels in the table mean: ID – Employee sample number Salary – Salary in thousands Age – Age in years Performance Rating - Appraisal rating (emp Service – Years of service (rounded) Gender – 0 = male, 1 = female Midpoint – salary grade midpoint Raise – percent of last raise Grade – job/pay grade Degree (0= BS\BA 1 = MS) Gender1 (Male or Female) Compa - salary divided by midpoint 0 1 0 1 1 1 1 1 0 0 M F F M F M M F M M C A F E D E E E E E s on is: Are males and females paid the same for equal work (under the Equal Pay Act)? each grade comprise equal work. thousands ng - Appraisal rating (employee evaluation score) , 1 = female vided by midpoint Sal Compa 24 1.045 24.2 1.053 23.4 1.018 23.4 1.017 22.6 22.9 23.1 23.3 22.7 23.5 0.983 0.995 1.003 1.011 0.985 1.023 23 24 35.5 1.002 1.042 1.145 34.7 35.5 35.2 40.4 42.7 53.4 1.119 1.146 1.136 1.01 1.068 1.112 51.5 49.8 68.3 65.4 78.4 75.9 1.072 1.037 1.198 1.148 1.17 1.133 24 23.3 24.1 27.5 27.1 27.7 1.044 1.012 1.049 0.887 0.875 0.895 40.8 43.9 41 1.019 1.097 1.025 48.7 49.4 64.4 64.5 58.9 57.9 1.014 1.029 1.13 1.132 1.033 1.016 59 63.3 56.8 58 1.035 1.111 0.996 1.017 G 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Mid 23 23 23 23 23 23 23 23 23 23 23 23 31 31 31 31 40 40 48 48 48 57 57 67 67 23 23 23 31 31 31 40 40 40 48 48 57 57 57 57 57 57 57 57 Age 32 30 41 32 32 36 22 29 23 27 22 32 30 31 44 27 32 30 48 30 36 27 34 44 42 32 41 24 52 25 26 44 35 25 36 45 34 42 52 35 45 45 39 37 EES 90 80 100 90 80 65 95 60 90 75 95 100 75 80 70 90 100 100 65 75 95 55 90 95 95 85 70 90 80 95 80 90 80 80 90 90 85 100 95 90 95 90 75 95 SR 9 7 19 12 8 6 2 4 4 3 2 8 5 11 16 6 8 2 6 9 8 3 11 9 20 1 4 2 7 4 2 4 7 5 16 18 8 16 22 9 11 16 20 5 G 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Raise 5.8 4.7 4.8 6 4.9 3.3 6.2 3.9 5.3 4.3 6.2 5.7 3.6 5.6 4.8 5.5 5.7 4.7 3.8 3.8 5.2 3 5.3 4.4 5.5 4.6 4 6.3 3.9 5.6 4.9 5.7 3.9 4.3 5.7 4.3 5.7 5.5 4.5 5.5 4.5 5.2 3.9 5.5 Deg 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 62.4 63.8 79 77 74.8 1.094 1.12 1.179 1.149 1.116 76 1.135 0 0 0 0 0 0 57 57 67 67 67 67 41 38 36 49 43 52 95 80 70 100 95 95 21 12 12 10 13 5 0 0 0 0 0 0 6.6 4.6 4.5 4 6.3 5.4 0 0 1 1 1 0 SUMMARY OUTPUT Regression Statistics Multiple R 0.705018 R Square 0.49705 Adjusted R 0.413225 Standard E 0.056125 Observatio 50 ANOVA df Regression Residual Total SS MS Significance F 7 0.13075 0.018679 5.929623 7.83E-05 42 0.132302 0.00315 49 0.263052 Coefficients Standard Error t Stat Intercept 0.948624 0.081717 11.60868 Mid 0.0035 0.000649 5.390013 Age 0.000553 0.001446 0.382293 EES -0.001846 0.001025 -1.800846 SR G Raise Deg F P-value Lower 95%Upper 95% Lower 95.0% Upper 95.0% 1.09E-14 0.783713 1.113535 0.783713 1.113535 2.98E-06 0.002189 0.00481 0.002189 0.00481 0.704172 -0.002365 0.003471 -0.002365 0.003471 0.078911 -0.003915 0.000223 -0.003915 0.000223 -0.000418 0.001828 -0.228814 0.820124 -0.004107 0.00327 -0.004107 0.00327 0.064665 0.01834 3.525963 0.001035 0.027654 0.101676 0.027654 0.101676 0.014655 0.013909 1.053639 0.298072 -0.013414 0.042724 -0.013414 0.042724 0.001468 0.01611 0.0911 0.927847 -0.031043 0.033979 -0.031043 0.033979 t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 1.06684 1.04836 Variance 0.004302 0.006481 Observatio 25 25 Pooled Var 0.005391 Hypothesiz 0 df 48 t Stat 0.889835 P(T
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