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Chi Square, question 1 |
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AZ |
UT |
Illinois |
row totals |
N |
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High |
35 |
24 |
32 |
91 |
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Low |
15 |
66 |
28 |
109 |
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Col totals |
50 |
90 |
60 |
200 |
200 |
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Fe |
22.75 |
40.95 |
27.3 |
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|
27.25 |
49.05 |
32.7 |
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fo-fe |
12.25 |
-16.95 |
4.7 |
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-12.25 |
16.95 |
-4.7 |
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squares |
150.0625 |
287.3025 |
22.09 |
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150.0625 |
287.3025 |
22.09 |
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/fe |
6.596153 |
7.015934 |
0.809157 |
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|
5.506880 |
5.857339 |
0.675535 |
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chi sq = |
26.46100 |
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chi crit(0.05)2 = |
5.99 |
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chiobs>chicrit, reject null |
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Exp p/c |
%college grads |
XY |
|
10.65 |
12.2 |
129.93 |
|
29.49 |
21.1 |
622.239 |
|
16.13 |
17.4 |
280.662 |
|
7.85 |
10.8 |
84.78 |
|
17.46 |
19.6 |
342.216 |
|
21.23 |
23 |
488.29 |
|
28.56 |
20.7 |
591.192 |
|
11.39 |
17.5 |
199.325 |
|
34.45 |
27.5 |
947.375 |
|
15.85 |
14.9 |
236.165 |
|
13.09 |
14.6 |
191.114 |
|
16.16 |
20.3 |
328.048 |
|
15.08 |
15.8 |
238.264 |
|
25.85 |
16.2 |
418.77 |
|
26.76 |
12.5 |
334.5 |
|
16.55 |
13.9 |
230.045 |
|
21.2 |
17 |
360.4 |
|
10.22 |
11.1 |
113.442 |
|
13.61 |
13.9 |
189.179 |
|
16.73 |
14.4 |
240.912 |
|
23.29 |
20.4 |
475.116 |
|
21.52 |
20 |
430.4 |
|
17.66 |
14.3 |
252.538 |
|
22.61 |
17.4 |
393.414 |
|
7.94 |
12.3 |
97.662 |
|
17.23 |
13.9 |
239.497 |
|
11.14 |
17.5 |
194.95 |
|
17.26 |
15.5 |
267.53 |
|
18.67 |
14.4 |
268.848 |
|
19.62 |
18.2 |
357.084 |
|
29.73 |
18.3 |
544.059 |
|
16.18 |
17.6 |
284.768 |
|
31.66 |
17.9 |
566.714 |
|
13.38 |
13.2 |
176.616 |
|
13.85 |
14.8 |
204.98 |
|
30.48 |
13.7 |
417.576 |
|
12.73 |
15.1 |
192.223 |
|
19.96 |
17.9 |
357.284 |
|
13.86 |
13.6 |
188.496 |
|
20.46 |
15.4 |
315.084 |
|
11.52 |
13.4 |
154.368 |
|
15.85 |
14 |
221.9 |
|
10.19 |
12.6 |
128.394 |
|
11.2 |
16.9 |
189.28 |
|
16.99 |
19.9 |
338.101 |
|
15.49 |
19 |
294.31 |
|
19.13 |
19.1 |
365.383 |
|
25.57 |
19 |
485.83 |
|
9.39 |
10.4 |
97.656 |
|
20.97 |
14.8 |
310.356 |
|
21.88 |
17.2 |
376.336 |
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XbarX=18.15 |
XbarY =16.31 |
S XY=15753.6 |
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STDX=6.43 |
STDY =3.31 |
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Xbar*Ybar= |
296.03 |
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STDX * STDy= |
21.28 |
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Plug into formula and r = |
0.598853 |
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0.598853 |
Same number using the CORREL function |
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3. Probability problems |
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Event A |
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s=17 |
t= 49 |
p=0.347 |
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Event B |
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s= 326 |
t = 1009 |
p=0.324 |
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p (A or B) |
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p(A)+p(B) |
0.347+0.324 = |
p=0.67 |
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p(A and B) |
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p(A)*p(B) |
0.347*0.324= |
p=0.112 |
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Academic Library Problem |
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GPA>3.5 |
GPA<3.5 |
row total |
|
BI |
20 |
10 |
30 |
|
No BI |
15 |
15 |
30 |
|
col total |
35 |
25 |
N=60 |
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Expecteds |
17.5 |
12.5 |
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17.5 |
12.5 |
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Fo-Fe |
2.5 |
-2.5 |
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-2.5 |
2.5 |
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squared |
6.25 |
6.25 |
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6.25 |
6.25 |
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/fe |
0.357143 |
0.5 |
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0.357143 |
0.5 |
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chisq= |
1.714286 |
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Chicrit (0.05)1 = |
3.84 |
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chisq obs < chicrit, fail to reject null |
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Question 5: True!
Last Updated on 8/9/97
By the prof