Question

In: Statistics and Probability

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

  1. 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.

****PLEASE HELP WALK ME THROUGH SPSS, I HAVE BEEN STUCK ON THIS PROBLEM FOR DAYS! ****

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

Solutions

Expert Solution

Enter the data into SPSS.

Now, go to Variable View at the bottom next to the Data View option and name the variables.

Also, name the groups by going to Values under Groups option.

Now, let's perform the test. Go to Data View > Analyze > Compare Means > Independent-Samples T Test.

Select the groups.

Go to Define Groups to define the groups.

Click Continue and OK.

The output is:

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 < µ2

The test statistic, t = -2.482

The p-value is 0.017/2 = 0.0085.

We divide the p-value by 2 because SPSS always generates the two-tailed value while we need the one-tail value for this problem.

Also, the p-value < 0.05 for the F-test, we would look at the output from Equal variance not assumed column.

Since the p-value (0.0085) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the relaxation treatment is more effective than the pharmaceutical treatment.

Please give me a thumbs-up if this helps you out. Thank you!


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