<Reminder: standard error is the sample standard deviation divided by the square

Question

<Reminder: standard error is the sample standard deviation divided by the square root of the sample size.>

1 Using our sample data, construct a 95% confidence interval for the population's mean salary for each gender.    Interpret the results. How do they compare with the findings in the week 2 one sample t-test outcomes (Question 1)? Mean St error t value Low to High Males Females

<Reminder: standard error is the sample standard deviation divided by the square root of the sample size.>

ID Salary Compa Midpoint Age Performance Rating Service Gender Raise Degree Gender1 Gr 1 66.1 1.159 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 25.9 0.834 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 35.2 1.135 31 30 75 5 1 3.6 1 F B 4 55.3 0.971 57 42 100 16 0 5.5 1 M E The column labels in the table mean: 5 49.6 1.033 48 36 90 16 0 5.7 1 M D ID – Employee sample number Salary – Salary in thousands      6 78.3 1.168 67 36 70 12 0 4.5 1 M F Age – Age in years Performance Rating - Appraisal rating (employee evaluation score) 7 42.3 1.058 40 32 100 8 1 5.7 1 F C Service – Years of service (rounded) Gender – 0 = male, 1 = female   8 22.8 0.990 23 32 90 9 1 5.8 1 F A Midpoint – salary grade midpoint     Raise – percent of last raise 9 78 1.164 67 49 100 10 0 4 1 M F Grade – job/pay grade Degree (0= BSBA 1 = MS) 10 23.3 1.014 23 30 80 7 1 4.7 1 F A Gender1 (Male or Female) Compa - salary divided by midpoint 11 23.6 1.025 23 41 100 19 1 4.8 1 F A 12 60.8 1.067 57 52 95 22 0 4.5 0 M E 13 40.6 1.014 40 30 100 2 1 4.7 0 F C 14 21.7 0.943 23 32 90 12 1 6 1 F A 15 21.8 0.949 23 32 80 8 1 4.9 1 F A 16 37.4 0.934 40 44 90 4 0 5.7 0 M C 17 57 1.000 57 27 55 3 1 3 1 F E 18 33.5 1.081 31 31 80 11 1 5.6 0 F B 19 23 1.000 23 32 85 1 0 4.6 1 M A 20 36 1.162 31 44 70 16 1 4.8 0 F B 21 76 1.135 67 43 95 13 0 6.3 1 M F 22 43.7 0.911 48 48 65 6 1 3.8 1 F D 23 25.3 1.098 23 36 65 6 1 3.3 0 F A 24 48.9 1.019 48 30 75 9 1 3.8 0 F D 25 25.8 1.122 23 41 70 4 0 4 0 M A 26 23.3 1.013 23 22 95 2 1 6.2 0 F A 27 42.3 1.057 40 35 80 7 0 3.9 1 M C 28 75.2 1.122 67 44 95 9 1 4.4 0 F F 29 80.9 1.208 67 52 95 5 0 5.4 0 M F 30 49 1.020 48 45 90 18 0 4.3 0 M D 31 24.2 1.054 23 29 60 4 1 3.9 1 F A 32 27.5 0.886 31 25 95 4 0 5.6 0 M B 33 63.6 1.115 57 35 90 9 0 5.5 1 M E 34 28.6 0.922 31 26 80 2 0 4.9 1 M B 35 22.4 0.976 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 37 24.3 1.057 23 22 95 2 1 6.2 0 F A 38 63 1.105 57 45 95 11 0 4.5 0 M E 39 34.8 1.123 31 27 90 6 1 5.5 0 F B 40 24.3 1.057 23 24 90 2 0 6.3 0 M A 41 42.8 1.071 40 25 80 5 0 4.3 0 M C 42 23 0.998 23 32 100 8 1 5.7 1 F A 43 75.4 1.125 67 42 95 20 1 5.5 0 F F 44 60.7 1.065 57 45 90 16 0 5.2 1 M E 45 57.9 1.206 48 36 95 8 1 5.2 1 F D 46 62.2 1.091 57 39 75 20 0 3.9 1 M E 47 62.2 1.091 57 37 95 5 0 5.5 1 M E 48 70.1 1.230 57 34 90 11 1 5.3 1 F E 49 61.7 1.083 57 41 95 21 0 6.6 0 M E 50 61.4 1.077 57 38 80 12 0 4.6 0 M E

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