Good day tutor, could you kindly assist in answering the questions(4-6 only)below. Please take note of the instructions, sets of questions (1-6) for reference only and data set showns below.

The first data set has salaries of recent graduates (within the last five years) from public universities or private universities; thesecond data set contains data for the favorite sport freshmen at Big Ten Universities best like to watch. The following are instructions for two different hypothesis tests: the first (#s 1-6) is about the difference in population means (1 2 ); the second (#s 7-12) is a Chi-Square Goodness of Fit test.

For Problems1 - 6: A researcher claims that, on average, recent graduates from private universities earn at least $5000 more per year than graduates from public universities. Using the first data set and = 0.01, test if there is evidence against the researcher's claim. That is, test that the difference is not more than $5000

4. Could you type the probability statement for the p-value and the probability. Round the test statistic to 2 decimals and the p-value to 6 decimals. Showing two p-values (probabilities): one-tailed and two-tailed, select the one that is for the hypothesis from #2.

5.Could you type the critical value(s) for the rejection region for this test to 6 decimals. Shows the positive critical values for one-tailed and two-tailed tests. The appropriate value(s) is based on the hypothesis from #2

6. Could you also Compare the p-value to , or the test statistic to the critical value(s);by typing the conclusion

Private University	Public University
58878.66	42545.94
72080.56	86914.89
63743.64	93220.61
81018.57	48826.9
77160.13	43750.09
77535.37	56173.95
67803.82	66816.77
102140.13	46175.76
46626.62	86749.49
84375.51	66292.88
46353.33	63892.95
78113.87	51010
58707.28	86749.44
50379.62	45064.9
78358.12	94074.1
97967.97	65357.33
89501.6	73412.55
51540.79	50695.4
71850.34	58633.43
40894.52	53232.85
70022	95903.43
93974.41	81920.95
77537.06	73597.29
83668.64	81524.29
91611.48	54405.88
80122.97	52392.3
81539.11	67387.46
65772.14	87761.65
46064.45	54507.48
73574.09	92895.5
80431.85	88532.74
56644.22	41897.89
57871.52	43762.43
69004.35	65984.03
65509.34	87000.55
48623.15	75807.69
43628.01	66740.78
91006.87	82703.64
56022.63	58424.15
66304.41	65462.2
61790.77	39982.5
75857.16	84752.09
60951.87	52028.49
64730.12	65483.67
73263.86	56925.79
77303	69736.43
45437.85	49542.18
87699.3	71628.78
62488.01	91358.4
59655.36	52568.57
74263.75	72511.61
48196.33	56041.55
88239.42	80752.91
55734.81	75437.24
71213.24	51104.89
55639.66	65593.17
52482.21	46935.06
61645.62	97420.91
77602.12	97241.29
59728.99	86773.56
49463.04	77623.62
78049.64	64911.76