A researcher wanted to know if individuals have better reaction times depending on when the test is taken -- in the morning or in the afternoon. He randomly assigned 16 participants to take the same reaction time test in either the morning or the afternoon. The following results were obtained, where lower scores indicate faster reaction time. Assume that the parametric test assumptions ARE violated. Conduct an appropriate statistical test using an alpha of .05 and the eight steps of hypothesis testing.

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A researcher wanted to know if individuals have better reaction times depending on when the test is taken -- in the morning or in the afternoon. He randomly assigned 16 participants to take the same reaction time test in either the morning or the afternoon. The following results were obtained, where lower scores indicate faster reaction time. Assume that the parametric test assumptions ARE violated. Conduct an appropriate statistical test using an alpha of .05 and the eight steps of hypothesis testing. 

Note: more information given in table than is needed

5. A researcher wanted to know if individuals have better reaction times depending on when the test is taken -- in the
morning or in the afternoon. He randomly assigned 16 participants to take the same reaction time test in either the
morning or the afternoon. The following results were obtained, where lower scores indicate faster reaction time.
Assume that the parametric test assumptions ARE violated. Conduct an appropriate statistical test using an alpha of
.05 and the eight steps of hypothesis testing.
Note: more information given in table than is needed
Individual
Morning
Afternoon
(X1)
R1 X12
Individual
R2 X22
Ranks D2
(X2)
1
79
6241 9
91
8281
-12
144
88
7744 10
92
8464
-4
16
95
9025
11
87
7569 8
64
4
78
6084
12
87
7569
81
81
6561
13
94
8836
-13
169
83
6889
14
86
7396
7
80
6400
15
82
6724
2
4
84
7056 16
93
8649
|-9
81
Total
668
56000
712
63488 -44
568
Means
83.5
89
-5.5
2.
Transcribed Image Text:5. A researcher wanted to know if individuals have better reaction times depending on when the test is taken -- in the morning or in the afternoon. He randomly assigned 16 participants to take the same reaction time test in either the morning or the afternoon. The following results were obtained, where lower scores indicate faster reaction time. Assume that the parametric test assumptions ARE violated. Conduct an appropriate statistical test using an alpha of .05 and the eight steps of hypothesis testing. Note: more information given in table than is needed Individual Morning Afternoon (X1) R1 X12 Individual R2 X22 Ranks D2 (X2) 1 79 6241 9 91 8281 -12 144 88 7744 10 92 8464 -4 16 95 9025 11 87 7569 8 64 4 78 6084 12 87 7569 81 81 6561 13 94 8836 -13 169 83 6889 14 86 7396 7 80 6400 15 82 6724 2 4 84 7056 16 93 8649 |-9 81 Total 668 56000 712 63488 -44 568 Means 83.5 89 -5.5 2.
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