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

Please explain whether the relaxation treatment is more effective than the pharmaceutical treatment or not, and how that conclusion was reached.

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