# Psy-380 introduction to probability and statistics project 3

**PSY-380 Introduction to Probability and Statistics**

**Project 3 – SPSS Analyses**

**Before beginning this assignment, be sure to watch the MindTap SPSS Demonstration Library videos corresponding to each question in order to successfully complete the assignment. The videos and links are listed in the LMS assignment description and below each question.**

**In SPSS run the correct statistical test for each study.**

1. A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a person’s life satisfaction. The researchers collected the following data from a random sample, which included the number of hours spent exercising in a week and a ranking of life satisfaction from 1 to 10 (1 being the lowest and 10 the highest).

*MindTap Question 1 Practice Resources: Course Support > SPSS Demonstration Library > Descriptive Statistics and Frequencies; Course Support > SPSS Demonstration Library > Correlation; Chapter 14 > Learn It > SPSS Problem Set: Correlation and Linear Regression: Using SPSS > 1. Obtaining correlation coefficients (Pearson); SPSS Problem Set: Correlation and Linear Regression: Interpreting SPSS > 1. Interpreting statistical software output in correlation.*

**Participant**

**Hours of Exercise**

**Life Satisfaction**

1

3

1

2

14

2

3

14

4

4

14

4

5

3

10

6

5

5

7

10

3

8

11

4

9

8

8

10

7

4

11

6

9

12

11

5

13

6

4

14

11

10

15

8

4

16

15

7

17

8

4

18

8

5

19

10

4

20

5

4

a. Run descriptive statistics on the data. Report the mean, variance and standard deviation for the data of hours of exercise per week by the participants. **Copy and paste the SPSS output.**

b. Run a bivariate correlation to determine if there is a linear relationship between the hours of exercise per week and the life satisfaction. **In 1-2 sentences interpret the results in words then write the statistical results in APA style. Report the Pearson’s Correlation and probability statistic.**

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. Run a two-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. **In 1-2 sentences interpret the results in words then write the statistical results in APA style. Report the ****t**** statistic and probability statistic.** *MindTap Question 2 Practice Resources: Course Support > SPSS Demonstration Library > Independent Samples t-Test; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Using SPSS > 2. Conducting an independent samples t test; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Interpreting SPSS > 2. Interpreting statistical software output for an independent-measures t test.*

**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

3. A researcher is interested to learn if the level of interaction a woman in her 20s has with her mother influences her life satisfaction ratings. Below is a list of women who fit into each of four levels of interaction. Conduct a One-way Between Subjects ANOVA on the data to determine if there are differences between groups; does the level of interaction influence women’s ratings of life satisfaction? Report the results of the One-way Between Subjects ANOVA. If significance is found, run the appropriate post-hoc test and report between what levels the significant differences were found. **In 1-2 sentences interpret the results in words then write the statistical results in APA style. Report the F statistic and probability statistic**.

*MindTap Question 3 Practice Resources: Course Support > SPSS Demonstration Library > One-Way Between-Subject ANOVA; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Using SPSS > 4. Conducting a single-factor, independent-measures ANOVA; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Interpreting SPSS > 4. Interpreting statistical software output for a single-factor, independent-measures ANOVA*

**No Interaction**

**Low Interaction**

**Moderate Interaction**

**High Interaction**

2

3

3

9

4

3

10

10

4

5

2

8

4

1

1

5

7

2

2

8

8

2

3

4

1

7

10

9

1

8

8

4

8

6

4

1

4

5

3

8

4. A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.

*MindTap Question 4 Practice Resources: Course Support > SPSS Demonstration Library > Between-Subjects Factorial ANOVA; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Using SPSS > 5. Conducting a two-factor ANOVA; Chapter 15 > Learn It > SPSS Problem Set: Parametric Hypothesis Testing Comparing Two or More Means: Interpreting SPSS > 5. Interpreting statistical software output for a two-factor ANOVA.*

Diet

Exercise

<30% fat

30% – 60% fat

>60% fat

<60 minutes

4

3

2

4

1

2

2

2

2

4

2

2

3

3

1

60 minutes

6

8

5

or more

5

8

7

4

7

5

4

8

5

5

6

6

a. Perform a Two-way analysis of variance (ANOVA). Report whether significance was found for Factor A, Factor B, and/or a significant interaction between Factors A and B. **In 1-2 sentences interpret the results in words then write the statistical results in APA style. Report the F statistic and probability statistic for all three tests (i.e., Factor A, Factor B, Factor AxB).**

b. If the test statistic is significant, run a post hoc test to determine between what groups significance was found. **In 1-2 sentences interpret the results in words then write the statistical results in APA style.**

c. Report an effect size for all significant results.** In 1-2 sentences identify the results in words then write the statistical results in APA style. ** **Report Eta squared or Omega squared.**