Assignment: Introduction to Probability/Statistics

PSY-380 Introduction to Probability and Statistics

Assignment: Introduction to Probability/Statistics
Project 3Answer each question completely, showing all your work. Copy and Paste the SPSS output into the word document for the calculations portion of the problems. (Please remember to answer the questions you must interpret the SPSS output). 

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).

 

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.       Find the mean hours of exercise per week by the participants.

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b.      Find the variance of the hours of exercise per week by the participants.

 

c.       Determine if there is a linear relationship between the hours of exercise per week and the life satisfaction by using the correlation coefficient.

 

d.      Describe the amount of variation in the life satisfaction ranking that is due to the relationship between the hours of exercise per week and the life satisfaction.

 

e.       Develop a model of the linear relationship using the regression line formula.

Assignment: Introduction to Probability/Statistics

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

3.      A researcher is interested to learn if there is a relationship between the level of interaction a women in her 20s has with her mother and her life satisfaction ranking. Below is a list of women who fit into each of four level of interaction. Conduct a One-Way ANOVA on the data to determine if a relationship exists.

 

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.      Is there a relationship between handedness and gender? A researcher collected the following data in hopes of discovering if handedness and gender are independent (Ambidextrous individuals were excluded from the study). Use the Chi-Square test for independence to explore this at a level of significance of 0.05.

Left-Handed Right-Handed
Men 13 22
Women 27 18

5.      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.

 

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 and explain the results. (Show all work to receive full credit)

 

b.      Find the effect size for each factor and the interaction and explain the results. (Show all work to receive full credit)

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ADDITIONAL INSTRUCTIONS FOR THE CLASS

Discussion Questions (DQ)

  • Initial responses to the DQ should address all components of the questions asked, including a minimum of one scholarly source, and be at least 250 words.
  • Successful responses are substantive (i.e., add something new to the discussion, engage others in the discussion, well-developed idea) and include at least one scholarly source.
  • One or two-sentence responses, simple statements of agreement, or “good post,” and responses that are off-topic will not count as substantive. Substantive responses should be at least 150 words.
  • I encourage you to incorporate the readings from the week (as applicable) into your responses.

Weekly Participation

  • Your initial responses to the mandatory DQ do not count toward participation and are graded separately.
  • In addition to the DQ responses, you must post at least one reply to peers (or me) on three separate days, for a total of three replies.
  • Participation posts do not require a scholarly source/citation (unless you cite someone else’s work).
  • Part of your weekly participation includes viewing the weekly announcement and attesting to watching it in the comments. These announcements are made to ensure you understand everything that is due during the week.

APA Format and Writing Quality

  • Familiarize yourself with APA format and practice using it correctly. It is used for most writing assignments for your degree. Visit the Writing Center in the Student Success Center, under the Resources tab in LoudCloud for APA paper templates, citation examples, tips, etc. Points will be deducted for poor use of APA format or absence of APA format (if required).
  • Cite all sources of information! When in doubt, cite the source. Paraphrasing also requires a citation.
  • I highly recommend using the APA Publication Manual, 6th edition.

Use of Direct Quotes

  • I discourage overutilization of direct quotes in DQs and assignments at the Masters’s level and deduct points accordingly.
  • As Masters’s level students, it is important that you be able to critically analyze and interpret information from journal articles and other resources. Simply restating someone else’s words does not demonstrate an understanding of the content or critical analysis of the content.
  • It is best to paraphrase content and cite your source.

 

LopesWrite Policy

  • For assignments that need to be submitted to LopesWrite, please be sure you have received your report and Similarity Index (SI) percentage BEFORE you do a “final submit” to me.
  • Once you have received your report, please review it. This report will show you grammatical, punctuation, and spelling errors that can easily be fixed. Take the extra few minutes to review instead of getting counted off for these mistakes.
  • Review your similarities. Did you forget to cite something? Did you not paraphrase well enough? Is your paper made up of someone else’s thoughts more than your own?
  • Visit the Writing Center in the Student Success Center, under the Resources tab in LoudCloud for tips on improving your paper and SI score.

Late Policy

  • The university’s policy on late assignments is 10% penalty PER DAY LATE. This also applies to late DQ replies.
  • Please communicate with me if you anticipate having to submit an assignment late. I am happy to be flexible, with advance notice. We may be able to work out an extension based on extenuating circumstances.
  • If you do not communicate with me before submitting an assignment late, the GCU late policy will be in effect.
  • I do not accept assignments that are two or more weeks late unless we have worked out an extension.
  • As per policy, no assignments are accepted after the last day of class. Any assignment submitted after midnight on the last day of class will not be accepted for grading.

Communication

  • Communication is so very important. There are multiple ways to communicate with me: 
    • Questions to Instructor Forum: This is a great place to ask course content or assignment questions. If you have a question, there is a good chance one of your peers does as well. This is a public forum for the class.
    • Individual Forum: This is a private forum to ask me questions or send me messages. This will be checked at least once every 24 hours.

 

 

 

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