Question
Good day tutor, could you kindly assist in answering the questions (1-6 only) below. Please take note of the instruction and data set showns below.
Good day tutor, could you kindly assist in answering the questions(1-6 only)below. Please take note of the instruction 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 Problems 1 - 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
- Define the parameter(s) in the context of the problem.
- State the hypotheses for this test.
- In the Variable 1 Range field: select the Private data - including the "Private University" label In the Variable 2 Range field: select the Public data - including the "Public University" label Enter the hypothesized value for the difference in means (from #2);
Check the "Labels" box; Enter alpha of 0.01; Select "Output Range" and enter E2 in the field; Click OK To resize the output for easier reading: double click on the small vertical bars dividers between the column headers of E and F; F and G; and G and H, copy and paste the output from E2:G14
4. 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. Shows two p-values (probabilities): one-tailed and two-tailed, select the one that is for the hypothesis from #2.
5. 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. Compare the p-value to , or the test statistic to the critical value(s); type the conclusion
Date set 1:
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 |
Data set 2:
Football | Basketball | Volleyball | Wrestling | Baseball/Softball | |
Hypothesized proportions | |||||
Expected Counts | |||||
Components for 2 | |||||
2 Statistic | |||||
Degrees of freedom | |||||
p-value |
Freshmen's Favorite Sport |
Football |
Wrestling |
Basketball |
Volleyball |
Basketball |
Basketball |
Wrestling |
Baseball/Softball |
Volleyball |
Football |
Basketball |
Football |
Basketball |
Basketball |
Wrestling |
Basketball |
Football |
Football |
Wrestling |
Volleyball |
Football |
Football |
Football |
Volleyball |
Basketball |
Basketball |
Football |
Wrestling |
Basketball |
Volleyball |
Basketball |
Basketball |
Wrestling |
Wrestling |
Basketball |
Basketball |
Baseball/Softball |
Basketball |
Football |
Basketball |
Basketball |
Football |
Volleyball |
Wrestling |
Football |
Volleyball |
Football |
Football |
Basketball |
Volleyball |
Basketball |
Wrestling |
Football |
Basketball |
Football |
Football |
Volleyball |
Basketball |
Baseball/Softball |
Football |
Basketball |
Basketball |
Football |
Football |
Football |
Volleyball |
Football |
Baseball/Softball |
Volleyball |
Basketball |
Football |
Basketball |
Volleyball |
Basketball |
Volleyball |
Football |
Wrestling |
Basketball |
Basketball |
Football |
Basketball |
Football |
Volleyball |
Baseball/Softball |
Basketball |
Volleyball |
Baseball/Softball |
Wrestling |
Volleyball |
Volleyball |
Basketball |
Basketball |
Wrestling |
Basketball |
Football |
Volleyball |
Football |
Football |
Basketball |
Volleyball |
Basketball |
Football |
Football |
Football |
Basketball |
Football |
Basketball |
Volleyball |
Basketball |
Football |
Basketball |
Basketball |
Basketball |
Basketball |
Volleyball |
Basketball |
Basketball |
Football |
Basketball |
Wrestling |
Basketball |
Basketball |
Football |
Basketball |
Wrestling |
Football |
Wrestling |
Basketball |
Football |
Football |
Basketball |
Football |
Football |
Volleyball |
Volleyball |
Wrestling |
Football |
Football |
Basketball |
Football |
Basketball |
Volleyball |
Football |
Volleyball |
Basketball |
Football |
Football |
Football |
Volleyball |
Basketball |
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Volleyball |
Football |
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Basketball |
Football |
Football |
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Football |
Volleyball |
Basketball |
Football |
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Football |
Volleyball |
Football |
Wrestling |
Basketball |
Basketball |
Football |
Football |
Volleyball |
Football |
Basketball |
Basketball |
Football |
Football |
Football |
Football |
Basketball |
Basketball |
Football |
Football |
Basketball |
Wrestling |
Volleyball |
Football |
Baseball/Softball |
Football |
Volleyball |
Basketball |
Football |
Basketball |
Volleyball |
Basketball |
Wrestling |
Basketball |
Volleyball |
Basketball |
Basketball |
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Volleyball |
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Volleyball |
Football |
Baseball/Softball |
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Football |
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Baseball/Softball |
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Football |
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Wrestling |
Football |
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Football |
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Basketball |
Basketball |
Wrestling |
Basketball |
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Football |
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Football |
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Baseball/Softball |
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Football |
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Wrestling |
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Wrestling |
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Football |
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Wrestling |
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Baseball/Softball |
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Football |
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Football |
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Basketball |
Basketball |
Basketball |
Baseball/Softball |
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Wrestling |
Football |
Football |
Football |
Basketball |
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Football |
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Football |
Wrestling |
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Football |
Basketball |
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Wrestling |
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Football |
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Basketball |
Volleyball |
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Basketball |
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Basketball |
Football |
Football |
Volleyball |
Volleyball |
Football |
Basketball |
Basketball |
Volleyball |
Football |
Volleyball |
Football |
Baseball/Softball |
Football |
Football |
Volleyball |
Football |
Football |
Volleyball |
Football |
Wrestling |
Volleyball |
Football |
Basketball |
Football |
Football |
Baseball/Softball |
Volleyball |
Baseball/Softball |
Baseball/Softball |
Basketball |
Basketball |
Football |
Volleyball |
Football |
Football |
Volleyball |
Basketball |
Football |
Volleyball |
Football |
Football |
Football |
Football |
Football |
Basketball |
Volleyball |
Basketball |
Baseball/Softball |
Basketball |
Basketball |
Football |
Basketball |
Volleyball |
Football |
Football |
Basketball |
Football |
Football |
Football |
Basketball |
Football |
Basketball |
Basketball |
Basketball |
Basketball |
Basketball |
Football |
Volleyball |
Volleyball |
Football |
Basketball |
Basketball |
Football |
Basketball |
Volleyball |
Football |
Football |
Basketball |
Volleyball |
Volleyball |
Wrestling |
Volleyball |
Baseball/Softball |
Football |
Volleyball |
Basketball |
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Football |
Football |
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Baseball/Softball |
Football |
Basketball |
Basketball |
Volleyball |
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Football |
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Wrestling |
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Basketball |
Baseball/Softball |
Football |
Baseball/Softball |
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Volleyball |
Basketball |
Basketball |
Wrestling |
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Basketball |
Football |
Basketball |
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Football |
Wrestling |
Basketball |
Basketball |
Basketball |
Football |
Volleyball |
Baseball/Softball |
Volleyball |
Football |
Volleyball |
Volleyball |
Baseball/Softball |
Basketball |
Volleyball |
Wrestling |
Football |
Football |
Volleyball |
Basketball |
Football |
Football |
Football |
Football |
Football |
Volleyball |
Basketball |
Volleyball |
Volleyball |
Football |
Football |
Football |
Football |
Football |
Basketball |
Volleyball |
Basketball |
Volleyball |
Volleyball |
Football |
Football |
Football |
Baseball/Softball |
Volleyball |
Basketball |
Football |
Basketball |
Basketball |
Volleyball |
Basketball |
Football |
Basketball |
Football |
Football |
Football |
Basketball |
Baseball/Softball |
Wrestling |
Football |
Football |
Football |
Basketball |
Basketball |
Football |
Volleyball |
Wrestling |
Football |
Volleyball |
Wrestling |
Baseball/Softball |
Basketball |
Football |
Volleyball |
Football |
Basketball |
Football |
Football |
Volleyball |
Wrestling |
Basketball |
Wrestling |
Volleyball |
Basketball |
Football |
Basketball |
Basketball |
Volleyball |
Basketball |
Football |
Football |
Basketball |
Volleyball |
Volleyball |
Football |
Basketball |
Football |
Football |
Basketball |
Football |
Volleyball |
Football |
Football |
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Football |
Football |
Basketball |
Basketball |
Football |
Basketball |
Basketball |
Football |
Volleyball |
Basketball |
Basketball |
Football |
Football |
Football |
Football |
Football |
Football |
Wrestling |
Football |
Football |
Football |
Basketball |
Volleyball |
Baseball/Softball |
Baseball/Softball |
Volleyball |
Basketball |
Basketball |
Basketball |
Basketball |
Basketball |
Basketball |
Wrestling |
Wrestling |
Wrestling |
Volleyball |
Football |
Basketball |
Baseball/Softball |
Baseball/Softball |
Basketball |
Volleyball |
Basketball |
Football |
Baseball/Softball |
Basketball |
Football |
Basketball |
Football |
Volleyball |
Basketball |
Basketball |
Basketball |
Basketball |
Wrestling |
Volleyball |
Basketball |
Basketball |
Football |
Football |
Basketball |
Volleyball |
Basketball |
Football |
Football |
Football |
Football |
Volleyball |
Football |
Football |
Volleyball |
Basketball |
Basketball |
Basketball |
Baseball/Softball |
Wrestling |
Football |
Football |
Football |
Football |
Volleyball |
Volleyball |
Volleyball |
Volleyball |
Basketball |
Volleyball |
Volleyball |
Football |
Football |
Basketball |
Basketball |
Wrestling |
Basketball |
Basketball |
Basketball |
Football |
Football |
Football |
Football |
Football |
Football |
Football |
Volleyball |
Volleyball |
Basketball |
Wrestling |
Basketball |
Volleyball |
Volleyball |
Football |
Basketball |
Basketball |
Basketball |
Football |
Football |
Basketball |
Football |
Volleyball |
Basketball |
Basketball |
Basketball |
Volleyball |
Wrestling |
Basketball |
Basketball |
Football |
Basketball |
Football |
Football |
Football |
Football |
Football |
Football |
Football |
Football |
Basketball |
Football |
Basketball |
Basketball |
Football |
Volleyball |
Football |
Volleyball |
Basketball |
Basketball |
Volleyball |
Wrestling |
Basketball |
Volleyball |
Basketball |
Football |
Football |
Wrestling |
Basketball |
Volleyball |
Basketball |
Basketball |
Baseball/Softball |
Volleyball |
Football |
Football |
Football |
Volleyball |
Basketball |
Basketball |
Basketball |
Football |
Football |
Basketball |
Football |
Volleyball |
Volleyball |
Baseball/Softball |
Football |
Volleyball |
Volleyball |
Volleyball |
Football |
Basketball |
Football |
Volleyball |
Basketball |
Football |
Volleyball |
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