Twenty five right-handed students were asked to turn a knob (using their right hands) that move Indicator by screw action. There were two identical instruments, one with a right-hand thread (the k turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The presented below gives the times (in seconds) each subject took to move the indicator a fixed distance Obs.# R L Obs.# R L Obs.# R L Obs.# R 1 113 137 8 116 145 15 118 166 22 100 1 2 105 105 9 75 78 16 103 146 23 89 7 3 130 133 10 96 107 17 111 123 24 85 10 4 101 108 122 84 18 104 135 25 88 13 5 138 115 12 103 148 19 111 112 6 118 170 13 116 147 20 89 93 7 87 103 14 107 87 21 78 76 At 1% level of significance, can we conclude that these right-handed students found it easier to use th knobs with a right-hand thread? Use the following form of the difference: right-left. 1. Test Stat: 2. Critical Region: a. T>2.492 b. Tabs (2.492) c. T> abs (-2.492) d. T< -2.492 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 stud it is easier to use the knobs with a right-hand thread among the students d. 11
Twenty five right-handed students were asked to turn a knob (using their right hands) that move Indicator by screw action. There were two identical instruments, one with a right-hand thread (the k turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The presented below gives the times (in seconds) each subject took to move the indicator a fixed distance Obs.# R L Obs.# R L Obs.# R L Obs.# R 1 113 137 8 116 145 15 118 166 22 100 1 2 105 105 9 75 78 16 103 146 23 89 7 3 130 133 10 96 107 17 111 123 24 85 10 4 101 108 122 84 18 104 135 25 88 13 5 138 115 12 103 148 19 111 112 6 118 170 13 116 147 20 89 93 7 87 103 14 107 87 21 78 76 At 1% level of significance, can we conclude that these right-handed students found it easier to use th knobs with a right-hand thread? Use the following form of the difference: right-left. 1. Test Stat: 2. Critical Region: a. T>2.492 b. Tabs (2.492) c. T> abs (-2.492) d. T< -2.492 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 stud it is easier to use the knobs with a right-hand thread among the students d. 11
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
Answer the following problem about hypothesis testing with up to four decimal places.
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
L
Obs.#
R
L
Obs.#
R
L Obs.# R
L
1
113
137
8
116
145
15
118
166
22
100
116
2
105
105
9
75
78
16 103
146
23
89
78
3
130
133
10
96
107
17
111
123
24 85
101
4
101
108
11
122
84
18 104
135 25 88
123
5
138
115
12
103
148
19 111
112
6
118
170
13
116
147
20
89
93
7
87
103 14 107
87 21 78
76
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:
2. Critical Region:
a. T> 2.492
b. Tabs (2.492)
c. T> abs (-2.492)
d. T < -2.492
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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