The observations below represent scaled scores obtained on the test by group of students. 3, 5, 8, 9, 3, 5, 10, 7, 4, 2, 8, 60, 0.1, 15.5, 4.7, 9.5, 8, 4.4, 8.7, 7.7, 12.6, 10, 11.2, 9.4, 10, 11.2, 9.4, 5.1, 6.8, 9.6, 12, 11.6, 12.3, 9.9, 6.7, 5.2, 2.3 test null hypothesis that the distribution is normally distributed by using the chi-square approach with alpha =0.05 Hint: the normal distribution has two parametes, mu and standard deviation. They can be estimated by the sample mean and variance. Obtain from standard normal distribution, the probabilities for about five non-overlapping categories of about 0.02 each to employ as the expected frequencies.
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1
|
3
|
|
2
|
5
|
|
3
|
8
|
|
4
|
9
|
|
5
|
3
|
|
6
|
5
|
|
7
|
10
|
|
8
|
7
|
|
9
|
4
|
|
10
|
2
|
|
11
|
8
|
|
12
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60
|
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13
|
0.1
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|
14
|
15.5
|
|
15
|
4.7
|
|
16
|
9.5
|
|
17
|
8
|
|
18
|
4.4
|
|
19
|
8.7
|
|
20
|
7.7
|
|
21
|
12.6
|
|
22
|
10
|
|
23
|
11.2
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|
24
|
9.4
|
|
25
|
10
|
|
26
|
11.2
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|
27
|
9.4
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|
28
|
5.1
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|
29
|
6.8
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|
30
|
9.6
|
|
31
|
12
|
|
32
|
11.6
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|
33
|
12.3
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|
34
|
9.9
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|
35
|
6.7
|
|
36
|
5.2
|
|
37
|
2.3
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