Twenty five right-handed students were asked to turn a knob (using their right hands) that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The data presented below gives the times (in seconds) each subject took to move the indicator a fixed distance: L Obs.# R L L Obs.# R 137 8 116 145 22 100 105 9 75 78 133 10 96 107 108 11 122 84 115 12 103 148 13 116 147 14 107 87 At 1% level of significance, can we conclude that these right-handed students found it easier to use the knobs with a right-hand thread? Use the following form of the difference: right-left Obs.# 1 2 3 4 5 6 7 R 113 105 130 101 138 118 87 170 103 Obs.# 15 16 17 18 19 20 21 R 118 103 111 166 146 123 104 135 111 112 89 93 78 76 23 89 85 25 88 226 24 L 116 78 101 123

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Twenty five right-handed students were asked to turn a knob (using their right hands) that moved an
indicator by screw action. There were two identical instruments, one with a right-hand thread (the knob
turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The data
presented below gives the times (in seconds) each subject took to move the indicator a fixed distance:
Obs.#
R
Obs.#
R
L
L Obs.# R
1
113
8
116
166
22
100
2
105
105
9
75
146
23
89
3
130
133
10
96
123
24 85
4
101
108
11
122
135 25 88
5
138
115
12
103
6
118
170
13
116
7
87
103 14
107
At 1% level of significance, can we conclude that these right-handed students found it easier to use the
knobs with a right-hand thread? Use the following form of the difference: right-left.
1. Test Stat:
L
137
2. Critical Region:
a. T> 2.492
b. Tabs (2.492)
c. T> abs (-2.492)
d. T < -2.492
Obs.#
R
15
118
16 103
17
111
18 104
19 111
147
20
89
87 21 78
145
78
107
84
148
112
93
76
L
116
78
101
123
3. Conclusion: At 5% level of significance
c. there is no evidence that it is easier to use the knobs with a right-hand thread among the students
d. it is easier to use the knobs with a right-hand thread among the students
Transcribed Image Text:Twenty five right-handed students were asked to turn a knob (using their right hands) that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The data presented below gives the times (in seconds) each subject took to move the indicator a fixed distance: Obs.# R Obs.# R L L Obs.# R 1 113 8 116 166 22 100 2 105 105 9 75 146 23 89 3 130 133 10 96 123 24 85 4 101 108 11 122 135 25 88 5 138 115 12 103 6 118 170 13 116 7 87 103 14 107 At 1% level of significance, can we conclude that these right-handed students found it easier to use the knobs with a right-hand thread? Use the following form of the difference: right-left. 1. Test Stat: L 137 2. Critical Region: a. T> 2.492 b. Tabs (2.492) c. T> abs (-2.492) d. T < -2.492 Obs.# R 15 118 16 103 17 111 18 104 19 111 147 20 89 87 21 78 145 78 107 84 148 112 93 76 L 116 78 101 123 3. Conclusion: At 5% level of significance c. there is no evidence that it is easier to use the knobs with a right-hand thread among the students d. it is easier to use the knobs with a right-hand thread among the students
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