BUS 308 Statistics for Managers
Data
| ID | Salary | Compa | Midpoint | Age | Performance Rating | Service | Gender | Raise | Degree | Gender1 | Gr | ||||||||
| 1 | 61.6 | 1.081 | 57 | 34 | 85 | 8 | 0 | 5.7 | 0 | M | E | The ongoing question that the weekly assignments will focus on is: Are males and females paid the same for equal work (under the Equal Pay Act)? | |||||||
| 2 | 27.7 | 0.895 | 31 | 52 | 80 | 7 | 0 | 3.9 | 0 | M | B | Note: to simplfy the analysis, we will assume that jobs within each grade comprise equal work. | |||||||
| 3 | 35.1 | 1.132 | 31 | 30 | 75 | 5 | 1 | 3.6 | 1 | F | B | ||||||||
| 4 | 58 | 1.018 | 57 | 42 | 100 | 16 | 0 | 5.5 | 1 | M | E | The column labels in the table mean: | |||||||
| 5 | 48.2 | 1.004 | 48 | 36 | 90 | 16 | 0 | 5.7 | 1 | M | D | ID – Employee sample number | Salary – Salary in thousands | ||||||
| 6 | 78.1 | 1.165 | 67 | 36 | 70 | 12 | 0 | 4.5 | 1 | M | F | Age – Age in years | Performance Rating - Appraisal rating (employee evaluation score) | ||||||
| 7 | 41.3 | 1.032 | 40 | 32 | 100 | 8 | 1 | 5.7 | 1 | F | C | Service – Years of service (rounded) | Gender – 0 = male, 1 = female | ||||||
| 8 | 22.1 | 0.962 | 23 | 32 | 90 | 9 | 1 | 5.8 | 1 | F | A | Midpoint – salary grade midpoint | Raise – percent of last raise | ||||||
| 9 | 73.9 | 1.103 | 67 | 49 | 100 | 10 | 0 | 4 | 1 | M | F | Grade – job/pay grade | Degree (0= BS\BA 1 = MS) | ||||||
| 10 | 23.1 | 1.003 | 23 | 30 | 80 | 7 | 1 | 4.7 | 1 | F | A | Gender1 (Male or Female) | Compa - salary divided by midpoint | ||||||
| 11 | 23.3 | 1.012 | 23 | 41 | 100 | 19 | 1 | 4.8 | 1 | F | A | ||||||||
| 12 | 64.7 | 1.135 | 57 | 52 | 95 | 22 | 0 | 4.5 | 0 | M | E | ||||||||
| 13 | 41.1 | 1.027 | 40 | 30 | 100 | 2 | 1 | 4.7 | 0 | F | C | ||||||||
| 14 | 24 | 1.045 | 23 | 32 | 90 | 12 | 1 | 6 | 1 | F | A | ||||||||
| 15 | 22.6 | 0.984 | 23 | 32 | 80 | 8 | 1 | 4.9 | 1 | F | A | ||||||||
| 16 | 42.2 | 1.054 | 40 | 44 | 90 | 4 | 0 | 5.7 | 0 | M | C | ||||||||
| 17 | 63.7 | 1.118 | 57 | 27 | 55 | 3 | 1 | 3 | 1 | F | E | ||||||||
| 18 | 34.5 | 1.113 | 31 | 31 | 80 | 11 | 1 | 5.6 | 0 | F | B | ||||||||
| 19 | 24.3 | 1.055 | 23 | 32 | 85 | 1 | 0 | 4.6 | 1 | M | A | ||||||||
| 20 | 34.1 | 1.101 | 31 | 44 | 70 | 16 | 1 | 4.8 | 0 | F | B | ||||||||
| 21 | 77.2 | 1.152 | 67 | 43 | 95 | 13 | 0 | 6.3 | 1 | M | F | ||||||||
| 22 | 60.3 | 1.257 | 48 | 48 | 65 | 6 | 1 | 3.8 | 1 | F | D | ||||||||
| 23 | 23.1 | 1.004 | 23 | 36 | 65 | 6 | 1 | 3.3 | 0 | F | A | ||||||||
| 24 | 56.3 | 1.173 | 48 | 30 | 75 | 9 | 1 | 3.8 | 0 | F | D | ||||||||
| 25 | 25 | 1.087 | 23 | 41 | 70 | 4 | 0 | 4 | 0 | M | A | 1.06848 | 0.0788733795 | 43.42 | 19.2012152393 | ||||
| 26 | 23.5 | 1.020 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | F | A | 1.06132 | 0.0841312071 | 46.8 | 19.6160436038 | ||||
| 27 | 46.9 | 1.172 | 40 | 35 | 80 | 7 | 0 | 3.9 | 1 | M | C | . | |||||||
| 28 | 78.3 | 1.169 | 67 | 44 | 95 | 9 | 1 | 4.4 | 0 | F | F | ||||||||
| 29 | 76.3 | 1.139 | 67 | 52 | 95 | 5 | 0 | 5.4 | 0 | M | F | ||||||||
| 30 | 49.3 | 1.027 | 48 | 45 | 90 | 18 | 0 | 4.3 | 0 | M | D | ||||||||
| 31 | 23.6 | 1.028 | 23 | 29 | 60 | 4 | 1 | 3.9 | 1 | F | A | ||||||||
| 32 | 26.5 | 0.855 | 31 | 25 | 95 | 4 | 0 | 5.6 | 0 | M | B | Compa | A | B | C | D | E | F | |
| 33 | 57.5 | 1.008 | 57 | 35 | 90 | 9 | 0 | 5.5 | 1 | M | E | F mean | 1.0141666667 | 1.1205 | 1.0375 | 1.1243333333 | 1.175 | 1.134 | |
| 34 | 28.6 | 0.923 | 31 | 26 | 80 | 2 | 0 | 4.9 | 1 | M | B | m | 1.0573333333 | 0.892 | 1.0833333333 | 0.9995 | 1.0818 | 1.12275 | |
| 35 | 22.6 | 0.984 | 23 | 23 | 90 | 4 | 1 | 5.3 | 0 | F | A | ||||||||
| 36 | 23.6 | 1.026 | 23 | 27 | 75 | 3 | 1 | 4.3 | 0 | F | A | F Stdev | 0.0337876614 | 0.0311608729 | 0.0176776695 | 0.0751620472 | 0.0494974747 | 0.0212132034 | |
| 37 | 23 | 0.999 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | F | A | m | 0.0248260616 | 0.0190525589 | 0.0877971146 | 0.028991378 | 0.0607029196 | 0.0332603367 | |
| 38 | 58.8 | 1.032 | 57 | 45 | 95 | 11 | 0 | 4.5 | 0 | M | E | ||||||||
| 39 | 33.9 | 1.094 | 31 | 27 | 90 | 6 | 1 | 5.5 | 0 | F | B | ||||||||
| 40 | 23.8 | 1.034 | 23 | 24 | 90 | 2 | 0 | 6.3 | 0 | M | A | ||||||||
| 41 | 45.8 | 1.144 | 40 | 25 | 80 | 5 | 0 | 4.3 | 0 | M | C | ||||||||
| 42 | 24.2 | 1.051 | 23 | 32 | 100 | 8 | 1 | 5.7 | 1 | F | A | ||||||||
| 43 | 75.6 | 1.128 | 67 | 42 | 95 | 20 | 1 | 5.5 | 0 | F | F | ||||||||
| 44 | 61.8 | 1.085 | 57 | 45 | 90 | 16 | 0 | 5.2 | 1 | M | E | ||||||||
| 45 | 56.9 | 1.185 | 48 | 36 | 95 | 8 | 1 | 5.2 | 1 | F | D | ||||||||
| 46 | 60.2 | 1.057 | 57 | 39 | 75 | 20 | 0 | 3.9 | 1 | M | E | ||||||||
| 47 | 57.2 | 1.003 | 57 | 37 | 95 | 5 | 0 | 5.5 | 1 | M | E | ||||||||
| 48 | 69.5 | 1.219 | 57 | 34 | 90 | 11 | 1 | 5.3 | 1 | F | E | ||||||||
| 49 | 63 | 1.105 | 57 | 41 | 95 | 21 | 0 | 6.6 | 0 | M | E | ||||||||
| 50 | 59.6 | 1.046 | 57 | 38 | 80 | 12 | 0 | 4.6 | 0 | M | E |
Sheet1
| Sal | Compa | G | Mid | Age | EES | SR | G | Raise | Deg | SUMMARY OUTPUT | SUMMARY OUTPUT | ||||||||||||||||||
| 24 | 1.045 | 1 | 23 | 32 | 90 | 9 | 1 | 5.8 | 1 | ||||||||||||||||||||
| 24.2 | 1.053 | 1 | 23 | 30 | 80 | 7 | 1 | 4.7 | 1 | Regression Statistics | Regression Statistics | ||||||||||||||||||
| 23.4 | 1.018 | 1 | 23 | 41 | 100 | 19 | 1 | 4.8 | 1 | Multiple R | 0.7050179484 | Multiple R | 0.9931286935 | ||||||||||||||||
| 23.4 | 1.017 | 1 | 23 | 32 | 90 | 12 | 1 | 6 | 1 | R Square | 0.4970503076 | R Square | 0.9863046018 | ||||||||||||||||
| 22.6 | 0.983 | 1 | 23 | 32 | 80 | 8 | 1 | 4.9 | 1 | Adjusted R Square | 0.4132253589 | Adjusted R Square | 0.9840220355 | ||||||||||||||||
| 22.9 | 0.995 | 1 | 23 | 36 | 65 | 6 | 1 | 3.3 | 0 | Standard Error | 0.0561252686 | Standard Error | 2.4352822665 | ||||||||||||||||
| 23.1 | 1.003 | 1 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | Observations | 50 | Observations | 50 | ||||||||||||||||
| 23.3 | 1.011 | 1 | 23 | 29 | 60 | 4 | 1 | 3.9 | 1 | ||||||||||||||||||||
| 22.7 | 0.985 | 1 | 23 | 23 | 90 | 4 | 1 | 5.3 | 0 | ANOVA | ANOVA | ||||||||||||||||||
| 23.5 | 1.023 | 1 | 23 | 27 | 75 | 3 | 1 | 4.3 | 0 | df | SS | MS | F | Significance F | df | SS | MS | F | Significance F | ||||||||||
| 23 | 1.002 | 1 | 23 | 22 | 95 | 2 | 1 | 6.2 | 0 | Regression | 7 | 0.1307500775 | 0.0186785825 | 5.9296225662 | 0.0000782906 | Regression | 7 | 17938.424611863 | 2562.632087409 | 432.1033638177 | 5.29906273684337E-37 | ||||||||
| 24 | 1.042 | 1 | 23 | 32 | 100 | 8 | 1 | 5.7 | 1 | Residual | 42 | 0.1323019225 | 0.0031500458 | Residual | 42 | 249.085188137 | 5.9305997175 | ||||||||||||
| 35.5 | 1.145 | 1 | 31 | 30 | 75 | 5 | 1 | 3.6 | 1 | Total | 49 | 0.263052 | Total | 49 | 18187.5098 | ||||||||||||||
| 34.7 | 1.119 | 1 | 31 | 31 | 80 | 11 | 1 | 5.6 | 0 | ||||||||||||||||||||
| 35.5 | 1.146 | 1 | 31 | 44 | 70 | 16 | 1 | 4.8 | 0 | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | ||||
| 35.2 | 1.136 | 1 | 31 | 27 | 90 | 6 | 1 | 5.5 | 0 | Intercept | 0.9486238772 | 0.0817167716 | 11.6086803119 | 0 | 0.7837127557 | 1.1135349987 | 0.7837127557 | 1.1135349987 | Intercept | -4.8714544587 | 3.54570071 | -1.3739045839 | 0.1767599037 | -12.0269681853 | 2.2840592678 | -12.0269681853 | 2.2840592678 | ||
| 40.4 | 1.01 | 1 | 40 | 32 | 100 | 8 | 1 | 5.7 | 1 | Mid | 0.0034995027 | 0.0006492568 | 5.3900133356 | 0.0000029767 | 0.0021892495 | 0.0048097559 | 0.0021892495 | 0.0048097559 | Mid | 1.2284155048 | 0.0281713308 | 43.6051641629 | 1.32019333894083E-36 | 1.1715634576 | 1.2852675521 | 1.1715634576 | 1.2852675521 | ||
| 42.7 | 1.068 | 1 | 40 | 30 | 100 | 2 | 1 | 4.7 | 0 | Age | 0.0005527738 | 0.0014459446 | 0.3822925256 | 0.7041721007 | -0.0023652605 | 0.0034708081 | -0.0023652605 | 0.0034708081 | Age | 0.0368279425 | 0.0627397124 | 0.5869957178 | 0.5603489282 | -0.0897859231 | 0.1634418081 | -0.0897859231 | 0.1634418081 | ||
| 53.4 | 1.112 | 1 | 48 | 48 | 65 | 6 | 1 | 3.8 | 1 | EES | -0.0018462553 | 0.0010252155 | -1.8008461371 | 0.0789105539 | -0.0039152239 | 0.0002227133 | -0.0039152239 | 0.0002227133 | EES | -0.0821579785 | 0.0444842245 | -1.8469014451 | 0.0718147225 | -0.171930778 | 0.007614821 | -0.171930778 | 0.007614821 | ||
| 51.5 | 1.072 | 1 | 48 | 30 | 75 | 9 | 1 | 3.8 | 0 | SR | -0.0004182288 | 0.0018278101 | -0.2288141345 | 0.820123898 | -0.004106899 | 0.0032704414 | -0.004106899 | 0.0032704414 | SR | -0.0778484529 | 0.079308905 | -0.9815852701 | 0.3319249969 | -0.2379003029 | 0.0822033971 | -0.2379003029 | 0.0822033971 | ||
| 49.8 | 1.037 | 1 | 48 | 36 | 95 | 8 | 1 | 5.2 | 1 | G | 0.0646649961 | 0.0183396697 | 3.5259629624 | 0.001034866 | 0.0276540443 | 0.101675948 | 0.0276540443 | 0.101675948 | G | 2.9145083112 | 0.7957605113 | 3.6625445343 | 0.000693549 | 1.3085985836 | 4.5204180389 | 1.3085985836 | 4.5204180389 | ||
| 68.3 | 1.198 | 1 | 57 | 27 | 55 | 3 | 1 | 3 | 1 | Raise | 0.0146549564 | 0.0139088976 | 1.0536389608 | 0.2980722322 | -0.0134143354 | 0.0427242483 | -0.0134143354 | 0.0427242483 | Raise | 0.6763294824 | 0.6035087689 | 1.1206622295 | 0.2687988764 | -0.5416005215 | 1.8942594864 | -0.5416005215 | 1.8942594864 | ||
| 65.4 | 1.148 | 1 | 57 | 34 | 90 | 11 | 1 | 5.3 | 1 | Deg | 0.0014675988 | 0.0161098249 | 0.0910996125 | 0.9278465471 | -0.0310433441 | 0.0339785418 | -0.0310433441 | 0.0339785418 | Deg | 0.0345044482 | 0.6990072742 | 0.0493620731 | 0.9608647532 | -1.3761493419 | 1.4451582383 | -1.3761493419 | 1.4451582383 | ||
| 78.4 | 1.17 | 1 | 67 | 44 | 95 | 9 | 1 | 4.4 | 0 | ||||||||||||||||||||
| 75.9 | 1.133 | 1 | 67 | 42 | 95 | 20 | 1 | 5.5 | 0 | ||||||||||||||||||||
| 24 | 1.044 | 0 | 23 | 32 | 85 | 1 | 0 | 4.6 | 1 | ||||||||||||||||||||
| 23.3 | 1.012 | 0 | 23 | 41 | 70 | 4 | 0 | 4 | 0 | ||||||||||||||||||||
| 24.1 | 1.049 | 0 | 23 | 24 | 90 | 2 | 0 | 6.3 | 0 | ||||||||||||||||||||
| 27.5 | 0.887 | 0 | 31 | 52 | 80 | 7 | 0 | 3.9 | 0 | t-Test: Two-Sample Assuming Equal Variances | |||||||||||||||||||
| 27.1 | 0.875 | 0 | 31 | 25 | 95 | 4 | 0 | 5.6 | 0 | ||||||||||||||||||||
| 27.7 | 0.895 | 0 | 31 | 26 | 80 | 2 | 0 | 4.9 | 1 | Variable 1 | Variable 2 | ||||||||||||||||||
| 40.8 | 1.019 | 0 | 40 | 44 | 90 | 4 | 0 | 5.7 | 0 | Mean | 1.06684 | 1.04836 | |||||||||||||||||
| 43.9 | 1.097 | 0 | 40 | 35 | 80 | 7 | 0 | 3.9 | 1 | Variance | 0.00430164 | 0.00648099 | |||||||||||||||||
| 41 | 1.025 | 0 | 40 | 25 | 80 | 5 | 0 | 4.3 | 0 | Observations | 25 | 25 | |||||||||||||||||
| 48.7 | 1.014 | 0 | 48 | 36 | 90 | 16 | 0 | 5.7 | 1 | Pooled Variance | 0.005391315 | ||||||||||||||||||
| 49.4 | 1.029 | 0 | 48 | 45 | 90 | 18 | 0 | 4.3 | 0 | Hypothesized Mean Difference | 0 | ||||||||||||||||||
| 64.4 | 1.13 | 0 | 57 | 34 | 85 | 8 | 0 | 5.7 | 0 | df | 48 | ||||||||||||||||||
| 64.5 | 1.132 | 0 | 57 | 42 | 100 | 16 | 0 | 5.5 | 1 | t Stat | 0.8898352784 | ||||||||||||||||||
| 58.9 | 1.033 | 0 | 57 | 52 | 95 | 22 | 0 | 4.5 | 0 | P(T<=t) one-tail | 0.188996287 | ||||||||||||||||||
| 57.9 | 1.016 | 0 | 57 | 35 | 90 | 9 | 0 | 5.5 | 1 | t Critical one-tail | 1.6772241961 | ||||||||||||||||||
| 59 | 1.035 | 0 | 57 | 45 | 95 | 11 | 0 | 4.5 | 0 | P(T<=t) two-tail | 0.3779925741 | ||||||||||||||||||
| 63.3 | 1.111 | 0 | 57 | 45 | 90 | 16 | 0 | 5.2 | 1 | t Critical two-tail | 2.0106347576 | ||||||||||||||||||
| 56.8 | 0.996 | 0 | 57 | 39 | 75 | 20 | 0 | 3.9 | 1 | ||||||||||||||||||||
| 58 | 1.017 | 0 | 57 | 37 | 95 | 5 | 0 | 5.5 | 1 | ||||||||||||||||||||
| 62.4 | 1.094 | 0 | 57 | 41 | 95 | 21 | 0 | 6.6 | 0 | ||||||||||||||||||||
| 63.8 | 1.12 | 0 | 57 | 38 | 80 | 12 | 0 | 4.6 | 0 | ||||||||||||||||||||
| 79 | 1.179 | 0 | 67 | 36 | 70 | 12 | 0 | 4.5 | 1 | ||||||||||||||||||||
| 77 | 1.149 | 0 | 67 | 49 | 100 | 10 | 0 | 4 | 1 | ||||||||||||||||||||
| 74.8 | 1.116 | 0 | 67 | 43 | 95 | 13 | 0 | 6.3 | 1 | ||||||||||||||||||||
| 76 | 1.135 | 0 | 67 | 52 | 95 | 5 | 0 | 5.4 | 0 |