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