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Mathematics & Economics
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Math Problem
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PAIRED-SAMPLES T TEST ASSIGNMENT

Math Problem Instructions:
PSS HOMEWORK: PAIRED-SAMPLES T TEST ASSIGNMENT INSTRUCTIONS OVERVIEW This assignment is designed to increase your statistical literacy and proficiency in conducting and interpreting the paired-samples t test. You will be completing two paired-samples t tests in SPSS, using data that are related to specific research scenarios in the behavioral sciences, such as psychology, social work, and counseling. You will also be completing one Cumulative Knowledge Question that will use an analysis learned in a previous week. Behind the scenes knowledge of how this test is conducted is fundamental to being able to understand and apply research in your related field to your practice. Additionally, SPSS skills are professionally valuable, as it is one of the most commonly used statistical software packages in behavioral science settings, both academic and professional. INSTRUCTIONS  This assignment includes three problem sets that contain research scenarios and related questions.  For each scenario, you will run an analysis in SPSS. The required product will include the SPSS output, an APA-style Results section describing the results, and the appropriate graph inserted as a Figure in APA style.  For each scenario, you will create a new SPSS data file with the data from the problem scenario. ALL variable names in your SPSS data files must include your initials, so that they show up in your SPSS output and graph. For example, for someone with the initials ABC creating a variable of memory scores, the variable could be named “ABC_mem_scores” or “Mem_Scores_ABC”, etc.  For all problems, interpret results based on an alpha level of  = .05.
Math Problem Sample Content Preview:
The Paired -Samples t-Test and Cumulative Knowledge Question Student Name Institution Professor Name Course Date The Paired -Samples t-Test and Cumulative Knowledge Question Problem Set 1: The paired-samples t testResearch Scenario: Research Scenario: A researcher is interested in how pairs of identical twins score on the Verbal SAT in late high school. She collects scores from 11 twin pairs (related subjects). The data appear in the table below. Using this table, enter the data into a new SPSS data file and run a paired-samples t test to test the claim that twins score differently from one another on the Verbal SAT. Remember to put your initials within any and all variable names. Create a boxplot to show the difference between the groups. Follow the directions below the table to complete this part.Problem Set 1: The paired-samples t testResearch Scenario: Research Scenario: A researcher is interested in how pairs of identical twins score on the Verbal SAT in late high school. She collects scores from 11 twin pairs (related subjects). The data appear in the table below. Using this table, enter the data into a new SPSS data file and run a paired-samples t test to test the claim that twins score differently from one another on the Verbal SAT. Remember to put your initials within any and all variable names. Create a boxplot to show the difference between the groups. Follow the directions below the table to complete this part. Twin 1 Twin 2 630 577 698 409 499 659 617 683 702 590 502 621 503 723 450 474 701 634 656 723 684 650 1 Paste SPSS output. (10 pts) Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 TJP_Twin 1 scores 596.91 11 94.009 28.345 TJP_Twin 2 scores 619.91 11 99.082 29.874 Paired Samples Correlations N Correlation Sig. Pair 1 TJP_Twin 1 scores & TJP_Twin 2 scores 11 .805 .003 Paired Samples Test Paired Differences t df Sig. (2-tailed) Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference Lower Upper Pair 1 TJP_Twin 1 scores - TJP_Twin 2 scores -23.000 60.524 18.249 -63.661 17.661 -1.260 10 .236 2 Write an APA-style Results section based on your analysis. Include your boxplot as an APA-style Figure, with figure number and title, as demonstrated in the Results Section presentation. (Results = 12 pts; Figure = 8 pts) Results Whether the Twins Scored Differently from One Another on the Verbal SAT From the paired-samples t-test results, twins 1’s and 2’s scores were strongly and positively correlated with an R-value of 0.805. The p-value is 0.003, which is less than the 0.05 significance level, indicating that the scores of twins 1 and 2 are significantly related. Hence, the twins scored differently from one another on the Verbal SAT. On average, twin 1’s scores, with a mean of 596.91, were 23 points lower than twin 2’s, whose mean was 619.91. CONTINUED ON NEXT PAGE Problem Set 2: The paired-samples t testResearch Scenario: A clinical psychologist is studying whether keeping a gratitude journal decre...
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