Statistics Assignment: Sample Selection, Probability Distributions, And Hypothesis Testing

ID	WAGE	OCCUPATION	AGE	SEX
	V1	V2	V3	V4	Male	25
29	10.05	6	26	1	Female	25
170	19.74	1	42	1
330	13.77	3	54	1
249	36.00	2	36	0
376	20.82	4	25	1
393	44.01	4	36	0
75	12.66	6	53	1
368	17.85	4	28	0
250	15.00	3	37	1
213	27.00	2	34	0
356	10.50	4	63	0
299	15.00	3	18	1
137	15.75	6	20	0
31	26.70	6	33	0
391	12.51	4	45	1
66	27.00	6	43	0
100	33.75	6	33	0
264	33.96	3	31	1
36	32.01	6	54	0
199	53.58	1	55	0
291	10.50	3	43	1
187	20.64	1	38	1
283	9.00	3	46	1
10	26.25	6	27	0
372	12.84	4	56	1
111	37.41	6	29	0
363	24.00	4	34	1
263	35.01	3	61	1
104	29.49	6	41	0
204	23.43	1	19	1
192	15.90	1	32	0
212	13.65	2	52	1
316	15.00	3	22	0
197	28.11	1	48	1
84	11.25	6	35	1
88	26.79	6	36	1
124	36.00	6	38	0
18	66.60	6	44	0
367	12.45	4	21	0
262	15.60	3	42	1
332	35.13	3	64	1
28	19.50	6	46	0
47	45.00	6	34	0
120	16.50	6	30	0
383	26.97	4	33	1
2	14.85	6	57	1
128	26.25	6	37	0
140	18.00	6	27	0
180	31.86	1	52	0
250	15.00	3	37	1
WAGE	OCCUPATION	AGE	SEX
V1	V2	V3	V4		Occupation Category	Relative Frequency
10.05	6	26	1		1	0.14
19.74	1	42	1		2	0.06
13.77	3	54	1		3	0.22
36.00	2	36	0		4	0.18
20.82	4	25	1		5	0.00
44.01	4	36	0		6	0.40
12.66	6	53	1		TOTAL	1.00
17.85	4	28	0
15.00	3	37	1
27.00	2	34	0		Occupation Category
10.50	4	63	0
15.00	3	18	1		Mean
15.75	6	20	0		Standard Error
26.70	6	33	0		Median
12.51	4	45	1		Mode
27.00	6	43	0		Standard Deviation
33.75	6	33	0		Sample Variance
33.96	3	31	1		Kurtosis			X	1	2	3	4	5
32.01	6	54	0		Skewness		P(X)	0.14	0.06	0.22	0.18	0.00
53.58	1	55	0		Range
10.50	3	43	1		Minimum
20.64	1	38	1		Maximum
9.00	3	46	1		Sum
26.25	6	27	0		Count
12.84	4	56	1
37.41	6	29	0
24.00	4	34	1
35.01	3	61	1
29.49	6	41	0
23.43	1	19	1
15.90	1	32	0
13.65	2	52	1
15.00	3	22	0
28.11	1	48	1
11.25	6	35	1
26.79	6	36	1
36.00	6	38	0
66.60	6	44	0
12.45	4	21	0
15.60	3	42	1
35.13	3	64	1
19.50	6	46	0
45.00	6	34	0
16.50	6	30	0
26.97	4	33	1
14.85	6	57	1
26.25	6	37	0
18.00	6	27	0
31.86	1	52	0
15.00	3	37	1
WAGE
V1
10.05			Wage ($ per hour)	Frequency
19.74			Upto $ 10	1
13.77			$10.01 to $20	23
36.00			$20.01 to $30	13
20.82			$30.01 to $40	9
44.01			$40.01 to $50	2
12.66			$50.01 to $60	1
17.85			$60.01 to $70	1
15.00
27.00
10.50
15.00
15.75			Hypothesis Testing
26.70			for Mean using t
12.51			p-value =	0.5348
27.00
33.75			Null Hypothesis: m =	25
33.96			Alternative Hypothesis:	Not Equal
32.01			Sample Size: n =	50
53.58			Sample Mean: X =	23.9328
10.50			Sample Standard Deviation: S =	12.0731
20.64			Standard Error: S_X =	1.7074
9.00					-1.0672
26.25				3.431874	-0.62505
12.84				27.3647
37.41				20.5009
24.00
35.01
29.49
23.43
15.90
13.65
15.00
28.11
11.25
26.79
36.00
66.60
12.45
15.60
35.13
19.50
45.00
16.50
26.97
14.85
26.25
18.00
31.86
15.00

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