SmalleyTylerStatsCRITICALassignment

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STA 144 Week 8 Critical Assignment Project STA 144 Week 8 Critical Assignment Project Tyler Smalley
STA 144 Week 8 Critical Assignment Project For this final project, I want to see a title page with your name and running head. If you do not understand something, please reach out. PART 1 . The data below examine the relationship between two variables, the quality of marriage and the quality of parent–child relationships. Use SPSS for this assignment. Quality of Marriage Quality of the Parent–Child Relationship 76 43 81 33 78 23 76 34 76 31 78 51 76 56 78 43 98 44 88 45 76 32 66 33 44 28 67 39 65 31 59 38 87 21 77 27 79 43 85 46 68 41 76 41 77 48
STA 144 Week 8 Critical Assignment Project 98 56 98 56 99 55 98 45 87 68 67 54 78 33 Using the above data: 1. Classify the levels of the data, meaning, tell me if the data are nominal, ordinal, interval, or ratio (pick just one). a. Interval 2. Calculate measures of central tendency (mean, median, and mode) and variability (range, SD, and variance) (attached the SPSS table below). a. In Picture Below 3. Write one null and one research hypotheses for the data above. a. Null = there is no significant correlation between the relationship someone has with their parents and the relationship they would have in with their spouse b. Research = There are correlations between a person’s relationship with their parents and their relationship with their spouse 4. This question has multiple parts: a. Create normal and binomial curves/graphs or run the test of normality to show if the data is normally distributed or not. Include the graphs/curves/table below. i. In Picture Below b. Interpret what you see going on with the graphs/curve/table ( are they normally distributed or not ? Why or why not). i. They are normally distributed, there are no excess outliers causing a disruption in the curve. It does seem to follow the typical bell shape, although my graph is more blocky. 5. This question has multiple parts:
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STA 144 Week 8 Critical Assignment Project a. Run a Pearson correlation for the above data and include the correlation table from SPSS below. i. This is in the picture below b. Interpret the results (interpret these data using the general range of very weak to very strong). i. The correlation is about moderate. It is a positive correlation in that there does show promise between having a good relationship with your parents appears to indicate a good relationship with your spouse, but it isn’t very strong. 6. From the list below, choose the statistical test ( which mean pick ONE ) you think is the most appropriate to determine the value for the data (you can copy the results from your SPSS output and past them here: a. One sample (Mean) test b. Two samples (independent t-test) test c. Paired/related sample t tests – I chose this test 7. Using the 10 steps for testing hypotheses (listed below and under Week 8 lecture), determine if the null hypothesis can be rejected or fail to be rejected. The Ten Steps could be found under Week 8 lecture. The Picture I have been referencing is now here
STA 144 Week 8 Critical Assignment Project Step 1 : Research Hypothesis? – There is a positive relationship between the relationship people have with their parents and the relationship they have with their spouse Step 2 : Null Hypothesis? – The relationship someone has with their parents has no effect on the relationship they have with their spouse Step 3 : One or two tails? – This can be a two tailed test as it could perhaps go the other way and show a negative and positive relationship Step 4 : Alpha level? – Alpha level at 0.05 Step 5 : What test? – A paired related sample T test Step 6 : Degrees of Freedom? 29 Step 7 : Critical Value? – 2.04522
STA 144 Week 8 Critical Assignment Project Step 8 : Decision Rule? – Reject the null hypothesis Step 9 : Finding? – The t stat far exceeded the value needed to reject the hypothesis and concluded with a positive correlation between the two tests Step 10 : Conclusion? – We can safely assume that after the test, there is in fact a positive correlation between the relationship statuses of parents and their effect on a person’s relationship with their spouse. PART 2 1. A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normally distributed. $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00. a. Find the 95% confidence interval for the true mean. a. The 95% confidence interval for the true mean is between $3.39 and $6.01 2. We ask whether people will score higher or lower on a questionnaire of their well-being when they are exposed to sunshine compared to when they’re not exposed to sunshine. A sample of 8 people is first measured after low levels of sunshine exposure and then again after high levels of exposure. We get the following pairs of scores: Low: 14 13 17 15 18 17 14 16 High: 18 12 20 19 22 19 19 16 a. State the null and alternative hypotheses. a. Null = there is no effect on a person’s wellbeing based on their exposure to sunlight b. Alternate Hypothesis = A person’s wellbeing may be effected depending on the amount of exposure to sunlight that they get. b. Using an alpha = 0.05, what is t ( crit )? a. The Critical is 2.364 c. Using SPSS, calculate t ( obt) ) (Use paired/related sample t test to obtain this info) a. The T value is -3.70 d. What should you conclude? a. We should reject the null because there is enough to show a significance between the levels of sunlight that the participants received and their wellbeing 3. We investigate the effects of sensitivity training on a policeman’s effectiveness at resolving domestic disputes (comparing independent samples of policemen who had or had not completed
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STA 144 Week 8 Critical Assignment Project the training). The dependent variable was their ability to successful resolve domestic disputes. The following scores were obtained: No course Course 11 13 14 16 10 14 12 17 8 11 15 14 12 15 13 18 9 12 11 11 a. State the null and alternative hypotheses a. Null = there is no difference between groups on their ability to resolve conflict based on their training b. Alternate = The ability to resolve conflict will be different based on the training that they received b. Using an alpha = 0.05, what is t ( crit )? a. 2.1000922 c. Using SPSS, calculate t ( obt ) (Use Independent Samples t test to get this info) a. -2.262157 d. What should you conclude? a. We can conclude that the difference between the two groups ability to resolve disputes is different 4. On a national test of “mental intensity,” is 20 and the standard deviation 6.28. Students in your class produce the following scores: 25, 26, 34, 14, 33, 29, 22, 18, 16, 13, 21, 20, 22, 21, 34, 30 Using the criterion of 0.05 and both tails of the sampling distribution, determine if your class is representative of the population. a. State the null and alternative hypotheses . a. Null = The class is representative of the overall population and produced the same scores
STA 144 Week 8 Critical Assignment Project b. Alternate = The class is not representative of the general population and will produce different socres b. Using an alpha = 0.05, what is t ( crit )? a. T critical is 2.365 c. Using SPSS, calculate t ( obt ) (Use One Sample t test to get this info) a. The T stat is -3.479 d. What should you conclude? a. This specific sample of participants is not representative of the population as a whole as their scores show a significant enough difference compared to the original test of 20