pls helpPSY-380 Introduction to Probability and Statistics Project 3 Answer each question...

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pls helpPSY-380 Introduction to Probability and Statistics Project 3 Answer each question completely. Copy and Paste the SPSS output into the word document for the calculations portion of the problems, highlighting correct answers. (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. b. Find the variance and standard deviation of the hours of exercise per week by the participants. c. Run a bivariate correlation to determine if there is a linear relationship between the hours of exercise per week and the life satisfaction. Report the results of the test statistic using correct APA formatting.  d. Run a linear regression on the data. Report the results, using correct APA formatting. Identify 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 (Hint: the R2 value) e. Report a model of the linear relationship between the two variables using the regression line formula. 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 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 3. A researcher is interested to learn if the level of interaction a women 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 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 ANOVA. If significance is found, run the appropriate post-hoc test and report between what levels the significant differences were found. Report the test statistic using correct APA formatting and interpret the results.  	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. Are handedness and gender related? 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. Report the test statistic using correct APA formatting and interpret the results.  	  	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 	60% fat

Prajna · Accepted Answer

PSY-380 Introduction to Probability and Statistics
Project 3
Answer each question completely. Copy and Paste the SPSS output into the word document for the calculations portion of the problems, highlighting correct answers. (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
	Descriptive Statistics
	
	Mean
	Std. Deviation
	N
	Life_Satisfaction
	5.05
	2.481
	20
	Hours_of_Exercise
	8.85
	3.660
	20
a. Find the mean hours of exercise per week by the participants.
Ans: 8.85 hours
b. Find the variance and standard deviation of the hours of exercise per week by the participants.
Ans: variance = (3.660)2 = 13.3956 hours2  & standard deviation = 3.660 hours
c. Run a bivariate correlation to determine if there is a linear relationship between the hours of exercise per week and the life satisfaction. Report the results of the test statistic using correct APA formatting. 
	Correlations
	
	
	Life_Satisfaction
	Hours_of_Exercise
	Pearson Correlation
	Life_Satisfaction
	1.000
	-.103
	
	Hours_of_Exercise
	-.103
	1.000
	Sig. (1-tailed)
	Life_Satisfaction
	.
	.332
	
	Hours_of_Exercise
	.332
	.
	N
	Life_Satisfaction
	20
	20
	
	Hours_of_Exercise
	20
	20
      
Hypothesis of interest: H0 : ρ = 0  vs.  H1 : ρ > 0 or simply, in words, we take the null hypothesis as the correlation between hours of exercise and life satisfaction to be zero against the alternative hypothesis that there is a positive correlation between hours of exercise and life satisfaction.
Clearly, here one tailed test would be appropriate.
From the output above we see that the p-value has come out to be 0.332 which is greater than both 0.05 and 0.01. Hence we fail to reject the null hypothesis at 5% level of significance, even at 1% level of significance.
So, we may conclude that there is hardly any linear relationship between the hours of exercise per week and the life satisfaction as the correlation between them can be considered as zero.
d. Run a linear regression on the data. Report the results, using correct APA formatting. Identify 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 (Hint: the R2 value)
	Model Summary
	Model
	R
	R Square
	Adjusted R Square
	Std. Error of the Estimate
	Change Statistics
	
	
	
	
	
	R Square Change
	F Change
	df1
	df2
	Sig. F Change
	1
	.103a
	.011
	-.044
	2.535
	.011
	.195
	1
	18
	.664
	a. Predictors: (Constant), Hours_of_Excercise
	
	
	
	
	
The R2 value of 0.011 says that only 1.

PSY-380 Introduction to Probability and Statistics Project 3 Answer each question completely. Copy and Paste the SPSS output into the word document for the calculations portion of the problems,...

Answer To: PSY-380 Introduction to Probability and Statistics Project 3 Answer each question completely. Copy...

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