******PLEASE SHOW WORK FROM 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. Run an independent samples t-test to determine if the relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05. Report the test statistic using correct APA formatting and interpret the results.
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 |
H0: the relaxation treatment is not more effective than the
pharmaceutical treatment
H1: the relaxation treatment is more effective than the
pharmaceutical treatment
Let the los be alpha = 5%
From the given data
Test Statistic F = 28.95^2 / 53.60^2 = 0.2917
Lower Critical F: 0.4759642
Upper Critical F: 2.100993
Here F value is not lies between F critical value so we there is significance difference between the variances of two populations
Test for independence of means:
Critical t: -1.679747
P-Value: 0.0085
Here t value is < t critical value and P-value < alpha 0.05 so we reject H0. Thus we conclude that the relaxation treatment is more effective than the pharmaceutical treatment
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