he mean starting salary of male workers (\$5957) was 16\% higher than the mean starting salary of female workers (\$5139).  Confirm these mean salaries.  Compute the standard error and 95% confidence interval for this comparison. Discuss any possible sources of bias or unmodeled uncertainty.  Is this enough evidence to conclude gender discrimination exists?  Give reasons why or why not.

<ul>

- `bsal` = beginning salary (annual salary at time of hire)

- `sal77` = annual salary in 1977

- `sex` = MALE or FEMALE

- `senior` = months since hired

- `age` = age in months

- `educ` = years of education

- `exper` = months of prior work experience

</ul>

banksalary.csv

bsal,sal77,sex,senior,age,educ,exper

5040,12420,MALE,96,329,15,14

6300,12060,MALE,82,357,15,72

6000,15120,MALE,67,315,15,35.5

6000,16320.00098,MALE,97,354,12,24

6000,12300,MALE,66,351,12,56

6840,10380,MALE,92,374,15,41.5

8100,13979.99902,MALE,66,369,16,54.5

6000,10140,MALE,82,363,12,32

6000,12360,MALE,88,555,12,252

6900,10920,MALE,75,416,15,132

6900,10920,MALE,89,481,12,175

5400,12660.00098,MALE,91,331,15,17.5

6000,12960,MALE,66,355,15,64

6000,12360,MALE,86,348,15,25

5100,8940,FEMALE,95,640,15,165

4800,8580,FEMALE,98,774,12,381

5280,8760,FEMALE,98,557,8,190

5280,8040,FEMALE,88,745,8,90

4800,9000,FEMALE,77,505,12,63

4800,8820,FEMALE,76,482,12,6

5400,13320,FEMALE,86,329,15,24

5520,9600,FEMALE,82,558,12,97

5400,8940,FEMALE,88,338,12,26

5700,9000,FEMALE,76,667,12,90

3900,8760,FEMALE,98,327,12,0

4800,9780,FEMALE,75,619,12,144

6120,9360,FEMALE,78,624,12,208.5

5220,7860,FEMALE,70,671,8,102

5100,9660,FEMALE,66,554,8,96

4380,9600,FEMALE,92,305,8,6.25

4290,9180.000977,FEMALE,69,280,12,5

5400,9540,FEMALE,66,534,15,122

4380,10380,FEMALE,92,305,12,0

5400,8640,FEMALE,65,603,8,173

5400,11880,FEMALE,66,302,12,26

4500,12540.00098,FEMALE,96,366,8,52

5400,8400,FEMALE,70,628,12,82

5520,8880,FEMALE,67,694,12,196

5640,10080,FEMALE,90,368,12,55

4800,9240,FEMALE,73,590,12,228

5400,8640,FEMALE,66,771,8,228

4500,7980,FEMALE,80,298,12,8

5400,11940,FEMALE,77,325,12,38

5400,9420,FEMALE,72,589,15,49

6300,9780,FEMALE,66,394,12,86.5

5160,10680.00098,FEMALE,87,320,12,18

5100,11160,FEMALE,98,571,15,115

4800,8340,FEMALE,79,602,8,70

5400,9600,FEMALE,98,568,12,244

4020,9840,FEMALE,92,528,10,44

4980,8700,FEMALE,74,718,8,318

5280,9780,FEMALE,88,653,12,107

5700,8280,FEMALE,65,714,15,241

4800,8340,FEMALE,87,647,12,163

4800,13560,FEMALE,82,338,12,11

5700,10260,FEMALE,82,362,15,51

4380,9720,FEMALE,93,303,12,4.5

4380,10500.00098,FEMALE,89,310,12,0

5400,10680.00098,MALE,88,359,12,38

5400,11640,MALE,96,474,12,113

5100,7860,MALE,84,535,12,180

6600,11220,MALE,66,369,15,84

5100,8700,MALE,97,637,12,315

6600,12240.00098,MALE,83,536,15,215.5

5700,11220,MALE,94,392,15,36

6000,12180,MALE,91,364,12,49

6000,11580,MALE,83,521,15,108

6000,8940,MALE,80,686,12,272

6000,10680.00098,MALE,87,364,15,56

4620,11100,MALE,77,293,12,11.5

5220,10080,MALE,85,344,12,29

6600,15360.00098,MALE,83,340,15,64

5400,12600,MALE,78,305,12,7

6000,8940,MALE,78,659,8,320

5400,9480,MALE,88,690,15,359

6000,14400,MALE,96,402,16,45.5

5700,10620,FEMALE,88,410,15,61

5400,10320,FEMALE,78,584,15,51

4440,9600,FEMALE,97,341,15,75

6300,10860.00098,FEMALE,84,662,15,231

6000,9720,FEMALE,69,488,12,121

5100,9600,FEMALE,85,406,12,59

4800,11100,FEMALE,87,349,12,11

5100,10020.00098,FEMALE,87,508,16,123

5700,9780,FEMALE,74,542,12,116.5

5400,10440,FEMALE,72,604,12,169

5100,10560,FEMALE,84,458,12,36

4800,9240,FEMALE,84,571,16,214

6000,11940,FEMALE,86,486,15,78.5

4380,10020.00098,FEMALE,93,313,8,7.5

5580,7860,FEMALE,69,600,12,132.5

4620,9420,FEMALE,96,385,12,52

5220,8340,FEMALE,70,468,12,127

b. The mean starting salary of male workers (\$5957) was 16\% higher than the mean starting salary of female workers (\$5139).  Confirm these mean salaries.  Compute the standard error and 95% confidence interval for this comparison. Discuss any possible sources of bias or unmodeled uncertainty.  Is this enough evidence to conclude gender discrimination exists?  Give reasons why or why not.