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# 10 was the sample size adequate to detect significant

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10. Was the sample size adequate to detect significant differences between the two groups in this example? Provide a rationale for your answer. The sample size was adequate to detect significant differences between these two groups. This can be seen in the stark contrast between the mean amount of money earned, the p value, t value, and the confidence interval between groups. Questions to be graded Exercise 32 Joy Aschettino

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Jasmine Hart 11/06/2017 HLT-362V Dr. Gesulla Cavanaugh Exercise 31 and 32 1. Do the example data meet the assumptions for the paired samples t -test? Provide a rationale for your answer. The assumptions are: the variables are measured on a continuous scale; the differences between the paired scores are independent and approximately/normally distributed; there are no significant outliers; repeated measures of sample (pre-and post). The data in this study meets these criteria, the variables are continuous, the independent variables are matched pairs, and the distribution is normal. 2. If calculating by hand, draw the frequency distributions of the two variables. What are the shapes of the distributions? If using SPSS, what are the results of the Shapiro-Wilk tests of normality for the two variables? The Shapiro-Wilk test shows a p value of 0.705 for the Baseline and 0.292 for the Post- test scores. Both are above the alpha level of 0.05 meaning that the shapes of the distribution are normal. Tests of Normality Kolmogoro v-Smirnov a Shapiro-Wilk Statistic df Sig. Statistic df Sig. ADS_Baseline .134 10 .200 * .953 10 .705 ADS_Post_TX .235 10 .124 .912 10 .292 3. What are the means for the baseline and posttreatment affective distress scores, respectively? The mean for the baseline score is 3.03, the mean for the post-treatment is 2.04 Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 ADS_Baseline 3.030 10 1.6640 .5262 ADS_Post_TX 2.040 10 .9834 .3110
Jasmine Hart 11/06/2017 HLT-362V Dr. Gesulla Cavanaugh Exercise 31 and 32 4. What is the paired samples t -test value? The t-test value is 2.865 Paired Differences t df Sig. (2-tailed) Mean Std. Deviation Std. Error Mean 95% Confidence Interval of the Difference Lower Upper Pair 1 ADS_Baseline - ADS_Post_TX .9900 1.0929 .3456 .2082 1.7718 2.865 9 .019 5. Is the t -test significant at α = 0.05? Specify how you arrived at your answer.
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