a) Fill in the missing table cells for the pain level differences. Compute the differences as 'Pre - Post'. b) If the hypnosis treatment is effective in reducing pain, we expect the differences (pre - post) to be -Select- : Note: For (c), (d), and (e) use 3 decimals in your answers. You should use JMP to calculate these values. c) The point estimate for the true average effect that hypnosis has on pain perception (i.e. Xdifference) is: d) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception (i.e. Sdifference)is:

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
Topic Video
Question

R2

A research team is interested in the effectiveness of hypnosis in reducing pain. The responses from 8 randomly selected patients
before and after hypnosis are recorded in the table below (higher values indicate more pain). Construct a 90% confidence interval for
the true mean difference in pain after hypnosis.
Perceived pain levels 'Pre' and 'Post' hypnosis for 8 subjects
Pre
12.0
10.2
7.5
11.0
10.9
12.0
12.2
12.6
Post
10.3
9.0
11.7
10.4
13.0
8.9
9.0
11.6
Difference
a) Fill in the missing table cells for the pain level differences. Compute the differences as 'Pre Post'.
b) If the hypnosis treatment is effective in reducing pain, we expect the differences (pre - post) to be
-Select---
Note: For (c), (d), and (e) use 3 decimals in your answers. You should use JMP to calculate these values.
c) The point estimate for the true average effect that hypnosis has on pain perception (i.e. xdifference) is:
d) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception (i.e. sdifference)is:
e) The standard error for the mean difference in pain scores is:
f) For this problem, the sample size is small enough that approximating the critical value as being 2 will induce substantial error. It
turns out that, for a sample size of n = 8, the 95% critical value is about 2.4. Using this, this 95% confidence interval for the true
mean difference in pain level after hypnosis is:
IMPORTANT: don't enter the 95% CI JMP gives you. It will be wrong, because critical value = 2.4 has been rounded to the nearest
decimal, while JMP uses a more precise value. You need to calculate this yourself using the CI formula.
95% CI for Hdifference:
(round your answer to 2 decimals)
to
g) Based on your confidence interval in part (f), does the data seem to suggest strong evidence that this form of hypnosis has an
effect on pain? Why or why not?
(You have two attempts.)
No, because the confidence interval for the true mean difference contains both negative and positive values.
No, because the confidence interval for the true mean difference contains only positive values.
Yes, because the confidence interval for the true mean difference contains both negative and positive values.
Yes, because the confidence interval for the true mean difference contains only positive values.
No, because the confidence interval for the true mean difference contains the sample mean difference.
No, because the confidence interval for the true mean difference does not contain the sample mean difference.
Yes, because the confidence interval for the true mean difference contains the sample mean difference.
Yes, because the confidence interval for the true mean difference does not contain the sample mean difference.
Transcribed Image Text:A research team is interested in the effectiveness of hypnosis in reducing pain. The responses from 8 randomly selected patients before and after hypnosis are recorded in the table below (higher values indicate more pain). Construct a 90% confidence interval for the true mean difference in pain after hypnosis. Perceived pain levels 'Pre' and 'Post' hypnosis for 8 subjects Pre 12.0 10.2 7.5 11.0 10.9 12.0 12.2 12.6 Post 10.3 9.0 11.7 10.4 13.0 8.9 9.0 11.6 Difference a) Fill in the missing table cells for the pain level differences. Compute the differences as 'Pre Post'. b) If the hypnosis treatment is effective in reducing pain, we expect the differences (pre - post) to be -Select--- Note: For (c), (d), and (e) use 3 decimals in your answers. You should use JMP to calculate these values. c) The point estimate for the true average effect that hypnosis has on pain perception (i.e. xdifference) is: d) The point estimate for the true standard deviation of the effect that hypnosis has on pain perception (i.e. sdifference)is: e) The standard error for the mean difference in pain scores is: f) For this problem, the sample size is small enough that approximating the critical value as being 2 will induce substantial error. It turns out that, for a sample size of n = 8, the 95% critical value is about 2.4. Using this, this 95% confidence interval for the true mean difference in pain level after hypnosis is: IMPORTANT: don't enter the 95% CI JMP gives you. It will be wrong, because critical value = 2.4 has been rounded to the nearest decimal, while JMP uses a more precise value. You need to calculate this yourself using the CI formula. 95% CI for Hdifference: (round your answer to 2 decimals) to g) Based on your confidence interval in part (f), does the data seem to suggest strong evidence that this form of hypnosis has an effect on pain? Why or why not? (You have two attempts.) No, because the confidence interval for the true mean difference contains both negative and positive values. No, because the confidence interval for the true mean difference contains only positive values. Yes, because the confidence interval for the true mean difference contains both negative and positive values. Yes, because the confidence interval for the true mean difference contains only positive values. No, because the confidence interval for the true mean difference contains the sample mean difference. No, because the confidence interval for the true mean difference does not contain the sample mean difference. Yes, because the confidence interval for the true mean difference contains the sample mean difference. Yes, because the confidence interval for the true mean difference does not contain the sample mean difference.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Algebraic Operations
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.
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