STAT 30100 Name: Worksheet #1? Independent Samples T-test 1. A studijr was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normallv distributed populations, and do not assume that the population standard deviations are equal. Complete parts la} and {b} below. Use a 0.05 signicance level for both parts. I_ ill-El\" III-=1. E 10.6? 21.53 Test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. i. What are the null and alternative hypotheses? ii. What is the test statistic. 1? (Round to two decimal places as needed.) iii. What is the Pvalue? {Round to three decimal places as needed} iv. State the conclusion for the test. A. Reject Hi]. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. Fail to reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. Fail to reject Hi). There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. Reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. STAT 30100 Name: Worksheet #1? Independent Samples T-test b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. [Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? , because the confidence interval contains 2. Determine whether the samples are independent or dependent. To test the effectiveness of a drug comma cholesterol levels are measured in 210 men before and after the treatment. Choose the correct answer below. The samples are independent because there is not a natural pairing between the two samples. The samples are dependent because there is not a natural pairing between the two samples. The samples are dependent because there is a natural pairing between the two samples. . The samples are independent because there is a natural pairing between the two samples. In a studv designed to test the effectiveness of magnets for treating backpain, 440 patients were given a treatment with magnets and another 41] were given a sham treatment without magnets. Pain was measured using a scale from CIIno pain} to lUIeJ-Ltreme pain]. Test whether the magnet treatment was more effective than the sham treatment. Complete parts la) through {c} using the SPSS output below. a.} Are the samples independent or dependent? Whv? Group Statistics Mean Std. Deviation Std. Error Mean 40 53.9?50 21.35909 3.45523 40 35.4250 21.33139 3.45185 STAT 30100 Name: Worksheet #17 Independent Samples T-test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Sig. (2- Mean Std. Error Difference F Sig if tailed) Difference Difference Lower Upper Pain Equal variances 069 .794 5.845 78 000 28.55 4.88475 18.82522 38.27 assumed Equal variances 5.845 78.000 000 28.55 4.88475 18.82522 38.27 not assumed b.) State the hypotheses. c.) Identify the test statistic. d.) Identify the p-value. e.) Make a Decision and Draw your conclusions. f.) Critique this study. Discuss how you would set up a better experiment.g.) How would you make this dependent or paired