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
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman