Week 6 homework solutions on key statistical concepts.
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STAT 200 Week 6 HomeworkSolutionCorrect Answers18. You choose an alpha level of .01 and then analyze your data.a. What is the probability that you will make a Type I error given that the nullhypothesis is true?b. What is the probability that youwill make a Type I error given that the nullhypothesis is false?7. Below are data showing the results of six subjects on a memory test. The threescores per subject are their scores on three trials (a, b, and c) of a memory task.Are the subjects get-ting better each trial? Test the linear effect of trial for the data.a. Compute L for each subject using the contrast weights-1, 0, and 1. That is,compute (-1)(a) + (0)(b) + (1)(c) for each subject.b. Compute a one-sample t-test on this column (with the L values for each subject)you created.13. You are conducting a study to see if students do better when they study all atonce or in intervals. One group of 12 participants took a test after studying for onehour continuously. The other group of 12 participants took a test after studying forthree twenty minute sessions. The first group had a mean score of 75 and avariance of 120. The second group had a mean score of 86 and a variance of 100.a. What is the calculated t value? Are the mean test scores of these two groupssignificantly different at the .05 level?b. What would the t value be if there were only 6 participants in each group? Wouldthe scores be significant at the .05 level?
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