Question

******PLEASE SHOW WORK FROM SPSS*****Insomnia has become an epidemic in the United States. Much research has...

******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

Homework Answers

Answer #1

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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