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Statistics Help

**Question: **For each problem, state which statistical test you should use, (e.g., single-sample t-test, paired-samples t-test etc.) (1 point). Show the value of the obtained inferential statistic (e.g., t = 2.17) (3 points), the degrees of freedom (.5 points) and the critical value from the relevant table (.5 points), and state whether you should reject or fail to reject the null hypothesis (1 point). Calculate effect size when applicable (1 point where applicable). Then explain, in non-statistical language (completely in layperson’s terms) what the practical conclusion of your analysis is, including the direction of the effect and the label for the effect size (small, medium, or large) (2 points).\r\n\r\n\r\n1. A TU professor wanted to know whether TU students or Goucher College students are more extroverted. He had 15 TU students and 15 Goucher College students complete a measure of extroversion in which higher scores indicate more extroversion. For TU students, the mean score was 89, with an SD of 8.00. For Goucher students, the mean score was 81 and the SD was 7.30 . Use ? = .05 to determine what the effect, if any, was.\r\n\r\nIndependent T-test\r\n\r\n\r\n2. A researcher wants to assess the accuracy of college students’ guesses of how many drinks other people have consumed. She had a sample of 144 college students watch a video of the behavior of a person who had actually consumed 3 drinks. Then, she had the participants in the study guess how many drinks the person had consumed. The sample mean was 2.10 with a standard deviation of 2.20. Using ? = .01, what can the researcher conclude regarding the accuracy of college students’ estimates of how many drinks others have consumed? \r\n\r\nSingle T-test\r\n\r\n3. A researcher hypothesizes that performance on a cognitive test will be better when people have had a full night’s sleep compared to when these same people are sleep deprived. A sample of 12 people is deprived of sleep for one night before taking the test. Under these circumstances, the mean number of questions they answered correctly was 6.08 with an SD of 1.38. A week later, these same people complete the test after a full night’s sleep. The mean number of questions answered correctly under these circumstances was 14.25 with an SD of 3.7. The raw scores and Z-scores were as follows:\r\n\r\nPaired T-test Class work #2\r\n\r\n No Sleep Znosleep Sleep Zsleep \r\n7 0.66 16 0.47\r\n8 1.39 19 1.29\r\n7 0.66 15 0.20\r\n8 1.39 15 0.20\r\n5 -0.79 14 -0.07\r\n6 -0.06 15 0.20\r\n6 -0.06 13 -0.34\r\n5 -0.79 12 -0.61\r\n3 -2.24 4 -2.77\r\n6 -0.06 15 0.20\r\n6 -0.06 16 0.47\r\n6 -0.06 17 0.74\r\n\r\n\r\n Test the researcher’s hypothesis at ? = .05.\r\n Edit

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