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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Recommended Textbook for

Payroll Accounting 2016

Authors: Bernard J. Bieg, Judith Toland

26th edition

978-1337072649

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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