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.
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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Author:Amos Gilat
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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F641e76a5-008e-40f5-bbdf-cfe4f5d2c4ae%2F0e9e7c29-7976-40d8-9c6d-2ba05d183ca8%2F26y0o9n_processed.jpeg&w=3840&q=75)
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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