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From Problem 3: Using the file GSS2012, we want to test the following: Some economists have theorized that one of the reasons that men earn

From Problem 3:

Using the file GSS2012, we want to test the following:

Some economists have theorized that one of the reasons that men earn higher incomes than women is that men work longer hours (HRS1). Conduct a statistical test to determine whether this contention is true. Use a 5% significance level for all tests. Compare male and female American adults (SEX: 1 = Male, 2 = Female)

GSS2012.xlsx

Split the observations into two groups:

  • Group 1: Male
  • Group 2: Female

Using summary statistics and graphics (e.g., box plots or histograms) to explore whether there is evidence of a difference in hours worked by gender. Show your work on the PDF file and make your conclusion without performing a formal hypothesis test.

1.Based on the exploratory analysis, did you find any difference in hours worked between both groups (Yes/No) there is a difference?

2.From Problem 3:Perform the appropriate hypothesis test and report the value of the F-test (F-calculated)

3.From Problem 3, report the value of the F-critical (relevant value is in the upper tail) with 4 decimals. You can also report the p-value relevant for this problem.

4.From Problem 3, report the select the answers from the given choices You(reject, not reject) the null hypothesis for the F-test and perform an (equal, unequal) variances t-test.

5.From Problem 3, conduct the test to compare 2 population means and produce a probability distribution graph of reference for the test statistic (graph to be attached and graded in the pdf file).

6.Report the t-test (t-calculated), including negative sign if needed.

7.From Problem 3, report the p-value for this test (2 decimals)

8.From Problem 3, select the answers from the given choices.Thus, we are performinga/an(upper, lower or two) tail(s) test. The conclusion is that we (reject, not reject) the null hypothesis.

8.From Problem 3:State the conclusion of the procedure (be sure to mention the scope of the inference).

9.From Problem 3:Calculate a 95% confidence interval for the difference of means of hours worked between Group 1 and Group 2 (i.e.1-2,). Report the LB

10.From Problem 3:Calculate a 95% confidence interval for the difference of means of hours worked between Group 1 and Group 2 (i.e.1-2,). Report the UB

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SEX INCOME HRS1
1 175,000 15
1 175,000 30
1 120,000 60
2 140,000
2 55,000
2 27,500
2 32,500
2 5,500
2 500
2 32,500 40
1 500
2 55,000 20
2 9,000
2 23,750
1 32
2 55,000 53
1 55,000 60
2 45,000 40
1 67,500 40
2 23,750
2
1 45,000 12
1 100,000 40
2 140,000 40
1 120,000
2 75
1 175,000 40
1
2 45,000
2 9,000 20
1 82,500
2 55,000 40
1 175,000
1 67,500 40
2 67,500 40
1 67,500 47
1 100,000 40
2 45,000 40
2 32,500 30
2 45,000 40
2 100,000 40
2 120,000
2 175,000 55
2 175,000 60
1 175,000 55
2 175,000
2 175,000
1 175,000 40
2 67,500
1 175,000
1 67,500 50
2 175,000 36
2 175,000
1 140,000 45
1 175,000 40
2 100,000
2 37,500 36
2 27,500
2 9,000
2
2 67,500
1 27,500
1 60
2 45,000 40
1
2
2 32,500 40
2 67,500 40
1 82,500 35
2 32,500 40
1 120,000 50
2 120,000
1 100,000 27
1 60
1 175,000 50
1 175,000
2 82,500 21
2 82,500
2 27,500 40
2 8
1 27,500
2 175,000 40
1 140,000 55
2 140,000 40
2 45,000 50
2 40
2 37,500
2 82,500 40
1
1 16,250 60
2 120,000
2 55,000 40
2 23,750 7
2 21,250
2 27,500
2 23,750 15
1 175,000 50
2
1 82,500 35
2 120,000 25
1 175,000
2 140,000
2
1 6,500 80
1
1 32,500 45
2 100,000 30
2 18,750
2 32,500
1 82,500 47
2 40
1 140,000 35
2 175,000 40
1 100,000 20
2 13,750 46
1 67,500 38
2 23,750
2 140,000 40
1 27,500
2 82,500
1 175,000
1 45,000 48
1 100,000 60
1 67,500 40
2 37,500
2 67,500 33
1 175,000 45
2 23,750 48
2 45,000 40
1 27,500 32
1 55,000
2 175,000 46
2 11,250
2 45,000 40
1 55,000 40
1 45,000 86
2 13,750
1 18,750
2 175,000 40
1 120,000 40
1 5,500 25
2 27,500 5
1 11,250
2 16,250 15
2 11,250
2 21,250
2
1 16,250 40
2 32,500 40
1 37,500 40
2 6,500 30
2 21,250
1 67,500 60
2 13,750 40
2 13,750 24
2 21,250
2 55,000
1 16,250
1 55,000 41
1 82,500 40
2 82,500
1 67,500 45
1 67,500 40
2 67,500 60
1 82,500 40
2
2 11,250
2 45,000 40
1 55,000 20
1 100,000 43
2 9,000
2 20
2 2,000
2 9,000
1 500
1 100,000 57
1 16
1 32,500
2 82,500 40
1 45,000 50
2 140,000
1 55,000 40
1 120,000 60
1 82,500
2 120,000
2 11,250 45
1 175,000 40
2 6,500 40
1 175,000 40
2 120,000 28
1
1 82,500 45
1 100,000
2 55,000 50
2 45,000
2 21,250
2 140,000
2 32,500 60
1 55,000
1 32,500 40
2 175,000 8
1 100,000 30
1 140,000
2 45,000
1 37,500 45
2 100,000 30
1 45,000 40
2
1 37,500 30
2 27,500 89
1 37,500 40
1 45,000 56
1 67,500 40
2 120,000
2 175,000 36
1 82,500 45
1 45,000
2
1 21,250 20
2 21,250
1 21,250 40
2 100,000
1 11,250
2 11,250 24
2 67,500 18
1 45,000 55
1 82,500
2
2 45,000 40
2
1 120,000 45
2 500
2 13,750
2 55,000 32
1 82,500 30
2 13,750
1 140,000 35
1 50
1 45,000
1 23,750
1 67,500 65
1 175,000 50
1
1 140,000 55
1
1 45,000
2 45,000 30
2
1 55,000 40
2 82,500 40
2 13,750 24
2 175,000
1 32,500 40
1 16,250 60
2 55,000 40
2 7,500
1 32,500 40
2 45,000 38
2 67,500
2 82,500
2 32,500
1 175,000 46
2 23,750
1 175,000 35
2 120,000
1 100,000 60
2 175,000
2 37,500
2 32,500
1 140,000 40
2 55,000 40
2 67,500 45
1 82,500 49
1 82,500
2 32,500
1 45,000
2 140,000
1 55,000 55
2 175,000 40
2 140,000 60
2 120,000 9
1 82,500 70
2 100,000 89
2 100,000
1 175,000 40
1 175,000 40
2 27,500 16
1
2 140,000 40
1 37,500 50
2 11,250 42
2 67,500
1 37,500
1 13,750
1 100,000 70
1 45,000 45
1 67,500
2 10
2 37,500 40
2 120,000 32
2 27,500 46
1 37,500
2
1 140,000 44
1 4,500 40
1 55,000
1 175,000 60
1
1 82,500
2 100,000 40
1 175,000 39
2 37,500
1 175,000 40
1 175,000 45
1 175,000 40
1 175,000 25
2 37,500 9
2 45,000 35
1 55,000 55
2 32,500 40
1 9,000
2 37,500 40
2 175,000 40
1 67,500 60
1 67,500
2 11,250
2 55,000 38
1 67,500 85
2 45,000 50
1 16,250 8
2 140,000 40
1 37,500 72
2 140,000
1 23,750
2 100,000 48
2 9,000
1 100,000
1 100,000 50
1 32,500
2 25
2 175,000 20
2 55,000
2 175,000
2 37,500 40
2 32,500
1 140,000 30
2 175,000 55
1 82,500 9
1 11,250 34
1 67,500 40
2 55,000 32
2 3,500
2 9,000
1 100,000 50
1 45,000 41
2 18,750
2 100,000 20
2 82,500 37
1 175,000 60
1 32,500
2 23,750
1 27,500
2
2 2,000 40
2 16,250
1 13,750
2 37,500
1 82,500 64
2 120,000 50
1 23,750
2 11,250
2 100,000
1 55,000
1 82,500 60
2 175,000 40
2
2 100,000 45
2 100,000 5
2 140,000 20
1 140,000 44
1 120,000 45
1 175,000 9
2 175,000 30
2 11,250
1 120,000 40
2
2 4,500
2 16,250 38
2 23,750
2 37,500
1 16,250
1 82,500 40
2 175,000 40
1 175,000 32
2 27,500 60
2 37,500 45
1 45,000 42
2 82,500 25
2 32,500
1 82,500 50
1 175,000 55
1 175,000 45
1 55,000
1 13,750
1 140,000 40
2 55,000
2
2 140,000 50
2 120,000
2
1 55,000 20
2 50
1 67,500 12
2 67,500 32
2 45,000
2 32,500 16
2 120,000
2 67,500 9
2 100,000 27
2 45,000 40
1 82,500 40
2 37,500
1 18,750 33
2 100,000 60
2 55,000 70
1 82,500
2 67,500
2 140,000 40
1 175,000 50
2 175,000
2
2 45
2 23,750
1 67,500 65
1 175,000 50
2 175,000 80
1 82,500 55
2
2 82,500
2 82,500
2 21,250
2 6,500
1 82,500 40
1 100,000 40
1 16,250 45
1 120,000 50
1 13,750 40
2 45,000 35
1 23,750
1 32,500
1 40
1 21,250 40
1 100,000 40
1 82,500 40
2 55,000 38
2 82,500
2 12
1 100,000 40
1 40
2 82,500 15
2 175,000 55
2 120,000
1 140,000 41
2 175,000 45
2 100,000
1 175,000 40
1 175,000 60
1 67,500 40
1 55
2 175,000 40
1
2 45,000 50
2 9,000 16
2 55,000 38
1
2 11,250 20
2 23,750 12
2 42
1 140,000 18
1 55,000 45
2 82,500 35
1 27,500
2 55,000 40
2 100,000
1
2
2 30
2 40
1 67,500 40
1 82,500 48
1 21,250
1 82,500 40
2 3,500
2 67,500
2 120,000 60
1 67,500 80
1 67,500 48
1 27,500 62
2 18,750 48
1 23,750 40
1 27,500
1 120,000 60
1 13,750
2 82,500 40
2 45,000 45
1 55,000 9
2 100,000
1 175,000 60
1 120,000 40
1
2 500 24
1 500 45
1 45,000
1 67,500
2 140,000 45
2
2 82,500 30
1 32,500 8
1 67,500 16
2
2 37,500 40
2 500
2 7,500
1 500 30
1 32,500 20
2 23,750 40
2 4,500
1 20
1 55,000
2 82,500 55
1 45,000 70
1 55,000 50
1 45,000 35
2 55,000
2 27,500
2 82,500 60
1 175,000 40
2 100,000 20
2 67,500 24
2 120,000
1 55,000
2 11,250
1 27,500 40
2 16,250 35
2 40
1 27,500 35
1 11,250
2 37,500 40
1 32,500 40
2 21,250 32
1 11,250
1 82,500 30
2 21,250 45
2
2 16,250
2 2,000
1 21,250 30
2 32,500
1 45,000 40
2 21,250 40
2 9,000
2 2,000
2 18,750 48
1 89
1 55,000 40
1 11,250 36
2 175,000 40
2
2 25
1 45,000
2 55,000 40
2 9
1 100,000
1 175,000 50
2 21,250
1 13,750
1 18,750
1 2,000
2 11,250
2 11,250
1 6,500 40
1 175,000
1 175,000 57
1 175,000 70
1 140,000 80
1 175,000 50
2 175,000 40
1 67,500 40
1 21,250
1 67,500
1 100,000 44
1 21,250 47
1 55,000 37
2 50
1 67,500 59
2 82,500
1 140,000 75
2 175,000 50
2 175,000 42
2 120,000 9
2 67,500 40
1 120,000 55
2 82,500
1 23,750 20
1 82,500 40
1 67,500 60
2 7,500 35
2 18,750 46
2 45,000
2 45,000 24
2
2 45,000 46
2 55,000 40
1 37,500
1 67,500 24
2 120,000 40
1 9,000
1 13,750
2 27,500 35
1 500
2 23,750 30
2 67,500 10
2 175,000 45
2 11,250
1 45,000
1 67,500
1 175,000 4
2 67,500
1 45,000 22
2 11,250 30
1 175,000 60
2 9,000
2 27,500
2 9,000
2 55,000 25
2 100,000 42
2 37,500
1 82,500 40
2 82,500 40
1 45,000 50
2 55,000
2 4,500
2 16,250 50
1 82,500 43
1 82,500 70
2 82,500
1 55,000 36
1 82,500 9
2 67,500
2 55,000 38
2 60
2 37,500 40
1 7,500 16
1 6,500
2 100,000 42
1 32,500 45
2 27,500
2 55,000 42
1 37,500 40
2 32,500 24
2
2 45,000 80
2 37,500 18
1 21,250 40
2 3,500 19
2 3,500
1 500
2 32,500
1 175,000 45
2 23,750 9
1 45,000
2 48
2 67,500 40
2 82,500 50
1 16,250 42
1 37,500
2 67,500
2 67,500
2 82,500 50
2 55,000 20
1 21,250 40
1 100,000 32
1 67,500 50
2 175,000
2 100,000 60
2 11,250
1 23,750 40
1 13,750
1 120,000 89
1 175,000
1 55,000 42
2 140,000 50
1 175,000 60
2 67,500
2 32,500
2 100,000 60
1 175,000 45
2 23,750 9
2 100,000 16
1 45,000 40
2 27,500
1 82,500
1 11,250
1 82,500
2 175,000 35
1 48
2 11,250
1 67,500 52
1 27,500
1 82,500
1 21,250
2 67,500 41
2 82,500 40
2 16,250 34
1 55,000
2 11,250
1 23,750
2 175,000 40
2 4,500 30
2 27,500
2 27,500
1 13,750
2 13,750 40
1 18,750 4
1 32,500 45
2 45,000 9
1 37,500 40
1 67,500 8
1 13,750 45
2
1 9,000
2 32,500
2 45,000
2 37,500 35
2 67,500
1 21,250
2 55,000
2 21,250 30
1 55,000 46
1 45,000 45
2 67,500 20
1 120,000 40
1
1 82,500 42
2 82,500 20
2 37,500
1 60
1 175,000 36
2 11,250 32
2 18,750 40
2 32,500
1 55,000 8
1 67,500
2 65
2 45,000
2 175,000
2 35
1 45,000
1 27,500 36
1 45,000 36
2 55,000 80
2 82,500 40
1 37,500 32
2 6,500
2 67,500 40
2 55,000
2 45,000 60
1 100,000 70
2 82,500 70
2 32,500 48
1 82,500 20
1 45,000 30
2 37
2 23,750 9
2 23,750 30
1 45,000 42
1 18,750 40
1 67,500 39
2 55,000
1 120,000 60
2 175,000 37
2 37,500 50
1
1 140,000 48
1 175,000 80
2 27,500
2 82,500 40
2 37,500
1 55,000
1 120,000 40
2 16,250
1 45,000 50
2 37,500 9
2 45,000
1 18,750 38
2
1 175,000 40
1 23,750 20
2 120,000
2 11,250 20
2 82,500 40
1 82,500
1 37,500
1 55,000
1 175,000 40
2 175,000
2 175,000
1 37,500
1 5,500
1 37,500 60
1 13,750 44
2 37,500
1 2,000 20
1
2 100,000 50
1 50
1 27,500
1 55
2 45,000
2 7,500
1 45,000 40
2 13,750 40
2 21,250
1 27,500
2 175,000
1 100,000 50
1 500 60
2
2 23,750 35
2 45,000 46
2 37,500
1 175,000 40
1 37,500 16
2 120,000
2 27,500 9
2 45,000 43
1 40
2 20
1 11,250
2 32,500 50
2 21,250
1 100,000 35
2 18,750
2 32,500 40
2 27,500
2 55,000 40
2 67,500 40
1 16,250 9
2 37,500 70
2 16,250
2 21,250 40
1 67,500 40
1 52
1 67,500 40
1 6,500
1 13,750
1 27,500 30
1 45,000 40
1 16,250
2 23,750
2 3,500
1 67,500 48
2 16,250
2 11,250
2 82,500 30
1 9,000
1 100,000 40
1 100,000 40
2 18,750 20
1 2,000 57
2 175,000 16
1 11,250 9
1 21,250 30
1 23,750 40
2 9,000
1 20
2 13,750
1 37,500 40
1 45,000
2 16,250
1 3,500 40
1 40
2 16,250 39
1 55,000 40
1 40
1 16,250 34
1 45,000 40
1 100,000 55
1 100,000 40
1 23,750
2 32,500 10
2 9,000 40
2 175,000 50
2 55,000 45
1 100,000 60
2 175,000 40
1 45,000
2 27,500
2
1 82,500 47
1 67,500 49
1 55,000
2 55,000 40
2 37,500 60
1 16,250
1 82,500 49
2 55,000 9
1 6,500 40
2
2 37,500 44
1 45,000
2 18,750 30
2 45,000 48
1 27,500 40
2 13,750 52
2 3,500
2 2,000 15
1 175,000
1 45,000
2 18,750
1 35
2 13,750
1 27,500 40
2 32,500
1 55,000 9
1 18,750 45
1 18,750 38
2 13,750 32
1 32,500
1 23,750 10
2 82,500 60
2 67,500 50
1 37,500 43
2 100,000 40
1 45,000 40
2 12
1 9,000
1 32,500 40
2 82,500
2 82,500 41
1 67,500 55
2 140,000 60
1 82,500 21
1 21,250 40
2
2 45,000 4
1 175,000 50
1 45,000 50
2 27,500
2 67,500
1
2 55,000 40
2 82,500
2 82,500 40
2 175,000
2 32
2 45,000 43
1 67,500
2 27,500
2 27,500
1 175,000 35
2 4
2 15
1 175,000 50
2 120,000 55
2 8
2 100,000
2 39
2 120,000 37
2 16,250
1 21,250 40
1 45,000
1 45,000 40
1 21,250 20
1 120,000 60
2 175,000 5
1 175,000 40
2 82,500 20
2 32,500
1 32,500
1 55,000 60
2 45,000 68
1 67,500 40
2 82,500 45
1 67,500 45
1 32,500
1 45,000 45
1 18,750 40
2 82,500
2 27,500
2 32,500
2 32,500 40
2 82,500 70
2 16,250 60
2 13,750
2 21,250 50
2 82,500
2 100,000 50
2 140,000
1 82,500 40
1 55,000 50
1
1 36
1 82,500 42
1
2 45,000 36
2 45,000 20
1 11,250 25
1 6,500 9
2 13,750 12
1 45,000 55
2 100,000 40
2 11,250
2 18,750
1 45,000 59
2 40
2 40
2 32,500 32
2 9,000
2
2 16,250 50
2 16,250
1 67,500
1 120,000 65
2 100,000 40
1 67,500 52
1 50
1 6,500 38
1 9,000
2 7,500
2 100,000 9
2 100,000 45
2 67,500 35
2 13,750 30
2 9,000
2 120,000 40
1 37,500 60
1 100,000 40
1 55,000
2 175,000 9
2 40
1 55,000
1 55,000 9
1 32,500
1
2 27,500 9
1 3,500 4
2 45,000 40
2 7,500
2 3,500
1 82,500 40
1 13,750
2 9,000
1 67,500
1 82,500 20
2 21,250
2 45,000 55
2 55,000 45
2 32,500 22
1 15
2 27,500 52
1 175,000 60
1
1 100,000 8
2 45,000 16
1 82,500 24
1 82,500 40
1 27,500
2 45,000 40
2 45,000 16
2 23,750 9
2 11,250
1 2,000
2 16,250
2
1 45,000 45
2 50
2 82,500 50
2 82,500
1 67,500 70
2 35
1 82,500 40
2 67,500 9
2 67,500 52
2 82,500 25
1 55,000 20
2 67,500 17
2 35
2 5,500
2 37,500 40
2 18,750
2 45,000
2 32,500
2 24
2 45,000
1 67,500 40
2 175,000 20
1 175,000
1 67,500
2 82,500
2 16,250 30
1 67,500 40
1 55,000 68
2 27,500 20
1 37,500 42
1 2,000
1 7,500 20
1
2
2 23,750
1 55,000
2 82,500 32
1 32,500 48
2 37,500 60
2 82,500
2 9,000 25
1 100,000 32
2 18,750
2 175,000 40
1 45,000 65
2 32
2 6,500
1 82,500
1 11,250
2 45,000 40
2
2
2 67,500 65
2 11,250
1 100,000 40
1
2 16,250
2 82,500 40
1 7,500 32
1 45,000 56
2
2 67,500 48
2 175,000
2 7,500
2 55,000 40
2 55,000 40
2 67,500 40
2 21,250
2 100,000 40
2 27,500 40
2 500
2 6,500
2 27,500 37
1 45,000
2 67,500
1 2,000 43
1 2,000 21
1 67,500
1 21,250
1 500
2 23,750 32
2 13,750 40
2 21,250 37
2 11,250 15
2 4,500
2 23,750
2 2,000
2 7,500
2 6,500
2 11,250
1 45,000
1
2 55,000
1 67,500 40
1 120,000
1 37,500
2 27,500
2 55,000
1 45,000 50
1 82,500 50
2 67,500 40
2 140,000
1 82,500
1
1
2 175,000 15
2 11,250
1
2
2 50
1
2 13,750
1 18,750 53
2 37,500 40
1 37,500 55
2 21,250
1 45,000 40
1 3,500 32
2 55,000 40
1 20
2
2 32,500 44
1 23,750
2 45,000
2
2 45,000 89
1 37,500
1 45,000 53
1 45,000
2 55,000 44
2 45,000 9
2 27,500 40
2 67,500 32
2 175,000
1 175,000 9
1 175,000 55
1 50
2 175,000 35
1
2 32,500 9
2 500 25
2 100,000
2 21,250 35
1 16,250 33
1 11,250
2 175,000
2 120,000
1
2 82,500 70
2 67,500
2 45,000
1 82,500 58
1 67,500
2 11,250 36
1 37,500
1 32,500 50
2 40
2 55,000
1 45,000 40
2 45,000 37
2 13,750
2 82,500 9
1 45,000 40
2 100,000 20
2
2 6,500
1 45,000
1 37,500 45
1
2 37,500
1 16,250
2 67,500 68
2 13,750
2 16,250
1 500
2 45,000 40
1 37,500 40
1 175,000 60
1 13,750 38
2 11,250
1 37,500 36
2 45,000 25
2 82,500 40
2 45,000
1 16,250
2 11,250
1 37,500
2 30
1 37,500 40
1 9,000
1 175,000 50
2 45,000
2 7,500
1 50
1
2 100,000
2 40
2 21,250
2 175,000 9
2 175,000 60
2 37,500
1 7,500 50
2 21,250
2 20
2 27,500 30
1 100,000 40
1 67,500 40
1 55,000 63
1 7,500
1 67,500 48
1 500
1 82,500 40
2 37,500
2 82,500
1 16,250
2 27,500 70
2 500
1 11,250 60
2 38
2