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During a weight loss study, each of 7 subjects was given a particular drug that is meant to decrease hunger levels, as well as a placebo. The hunger rating data are shown at right. For problems on this page, we are assuming pairing and normal distribution. With With Difference Person Drug | Placebo ( Y – Y2 ) 1 79 78 1 65 54 11 3 52 72 -20 (a) Construct a 90% CI for the difference in mean difference in change. 4 15 25 -10 61 101 -40 6. 107 99 7 77 114 -37 Mean 65.1 77.6 -12.4 SD 28.3 30.8 20.7 (b) For the CI you just found, approximately how large would the sample size have needed to be so that the margin of error ta/2 · SE, would have been < 10? (c) Compare the Drug and Placebo populations using a t-test at a = 0.10. Use a non-directional alternative. What do you conclude about Drug vs. Placebo: is there significant evidence that the drug changes hunger level? d) Using the work from (c), is there significant evidence that the drug decreases hunger level? (So this is now a directional test.)

During a weight loss study, each of 7 subjects was given a particular drug that is meant to decrease hunger levels, as well as a placebo. The hunger rating data are shown at right. For problems on this page, we are assuming pairing and normal distribution. With With Difference Person Drug | Placebo ( Y – Y2 ) 1 79 78 1 65 54 11 3 52 72 -20 (a) Construct a 90% CI for the difference in mean difference in change. 4 15 25 -10 61 101 -40 6. 107 99 7 77 114 -37 Mean 65.1 77.6 -12.4 SD 28.3 30.8 20.7 (b) For the CI you just found, approximately how large would the sample size have needed to be so that the margin of error ta/2 · SE, would have been < 10? (c) Compare the Drug and Placebo populations using a t-test at a = 0.10. Use a non-directional alternative. What do you conclude about Drug vs. Placebo: is there significant evidence that the drug changes hunger level? d) Using the work from (c), is there significant evidence that the drug decreases hunger level? (So this is now a directional test.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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3. During a weight loss study, each of 7 subjects was given a particular drug that is meant to decrease hunger levels, as well as a placebo. The hunger rating data are shown at right. For problems on this page, we are assuming pairing and normal distribution. With With Difference Person Drug Placebo | (Y, – Y2 ) 1 79 78 1 65 54 11 3 52 72 -20 (a) Construct a 90% CI for the difference in mean difference in change. 4 15 25 -10 61 101 -40 107 99 8 77 114 -37 Mean 65.1 77.6 -12.4 SD 28.3 30.8 20.7 (b) For the CI you just found, approximately how large would the sample size have needed to be so that the margin of error ta/2 · SED would have been < 10? t -test at a = 0.10. Use a (c) Compare the Drug and Placebo populations using a non-directional alternative. What do you conclude about Drug vs. Placebo: is there significant evidence that the drug changes hunger level? (d) Using the work from (c), is there significant evidence that the drug decreases hunger level? (So this is now a directional test.) 5 67
Transcribed Image Text:3. During a weight loss study, each of 7 subjects was given a particular drug that is meant to decrease hunger levels, as well as a placebo. The hunger rating data are shown at right. For problems on this page, we are assuming pairing and normal distribution. With With Difference Person Drug Placebo | (Y, – Y2 ) 1 79 78 1 65 54 11 3 52 72 -20 (a) Construct a 90% CI for the difference in mean difference in change. 4 15 25 -10 61 101 -40 107 99 8 77 114 -37 Mean 65.1 77.6 -12.4 SD 28.3 30.8 20.7 (b) For the CI you just found, approximately how large would the sample size have needed to be so that the margin of error ta/2 · SED would have been < 10? t -test at a = 0.10. Use a (c) Compare the Drug and Placebo populations using a non-directional alternative. What do you conclude about Drug vs. Placebo: is there significant evidence that the drug changes hunger level? (d) Using the work from (c), is there significant evidence that the drug decreases hunger level? (So this is now a directional test.) 5 67
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