***MUST BE CALCULATED IN SPSS*** Insomnia has become an epidemic in the United S
ID: 3300929 • Letter: #
Question
***MUST BE CALCULATED IN SPSS***
Insomnia has become an epidemic in the United States. Much research has been done in the development of new pharmaceuticals to aide those who suffer from insomnia. Alternatives to the pharmaceuticals are being sought by sufferers. A new relaxation technique has been tested to see if it is effective in treating the disorder. Sixty insomnia sufferers between the ages of 18 to 40 with no underlying health conditions volunteered to participate in a clinical trial. They were randomly assigned to either receive the relaxation treatment or a proven pharmaceutical treatment. Thirty were assigned to each group. The amount of time it took each of them to fall asleep was measured and recorded. The data is shown below. Use the appropriate t-test to determine if the relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05.
Relaxation
Pharmaceutical
98
20
117
35
51
130
28
83
65
157
107
138
88
49
90
142
105
157
73
39
44
46
53
194
20
94
50
95
92
161
112
154
71
75
96
57
86
34
92
118
75
41
41
145
102
148
24
117
96
177
108
119
102
186
35
22
46
61
74
75
Relaxation
Pharmaceutical
98
20
117
35
51
130
28
83
65
157
107
138
88
49
90
142
105
157
73
39
44
46
53
194
20
94
50
95
92
161
112
154
71
75
96
57
86
34
92
118
75
41
41
145
102
148
24
117
96
177
108
119
102
186
35
22
46
61
74
75
Explanation / Answer
Two-Sample T-Test and CI
Sample N Mean StDev SE Mean
1 30 74.7 28.9 5.3
2 30 102.3 53.6 9.8
Difference = (1) - (2)
Estimate for difference: -27.6
95% CI for difference: (-50.0, -5.2)
T-Test of difference = 0 (vs ): T-Value = -2.48 P-Value = 0.017 DF = 44
since p < 0.05, hence reject H0
so we conclude that relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05
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