The problem set scores, prior to the mid-term exam, is shown below for four students selected at random. The distribution for the scores is unknown; therefore any analysis must be nonparametric. Using a 1% level of significance, can the hypothesis that the distributions for the student's scores are identical be accepted?
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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moe
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9
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9
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10
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7
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7
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9
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10
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10
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9
|
10
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10
|
10
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6
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8
|
9
|
|
larry
|
9
|
10
|
8
|
9
|
9
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10
|
8
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10
|
10
|
10
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0
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9
|
9
|
10
|
9
|
|
curly
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0
|
8
|
10
|
10
|
9
|
10
|
9
|
9
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0
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7
|
9
|
9
|
8
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0
|
9
|
|
shimp
|
9
|
10
|
9
|
9
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10
|
9
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0
|
9
|
9
|
9
|
9
|
0
|
9
|
9
|
9
|
Which of the statements below best describes yoru findings?
a) W=1.6856, the hypothesis that the distributions are identical cannot be rejected.
b) W=2.6330, the hypothesis that the distributions are identical cannot be rejected.
c) W=6.2510, the hypothesis that the distributions are identical cannot be rejected.
d) W=8.9020, the hypothesis that the distributions are identical cannot be rejected.
e) W = 8.9020, the hypothesis that the distributions are identical can be rejected.