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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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