2. Insomnia has become an epidemic in the United States. Much research has been

Question

2. 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

Explanation / Answer

since p-value for one-tailed is 0.007997273 < 0.05

hence we reject the null hypothesis and we conclude that

the relaxation treatment is more effective than the pharmaceutical treatment at a level of significance of 0.05.

Please rate my solution

t-Test: Two-Sample Assuming Equal Variances Relaxation Pharmaceutical Mean 74.7 102.3 Variance 838.0793103 2872.493103 Observations 30 30 Pooled Variance 1855.286207 Hypothesized Mean Difference 0 df 58 t Stat -2.481699846 P(T<=t) one-tail 0.007997273 t Critical one-tail 1.671552762 P(T<=t) two-tail 0.015994547 t Critical two-tail 2.001717484

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