R2 A research team is interested in the effectiveness of hypnosis in reducing pain. The responses from 8 randomly selected patientsbefore and after hypnosis are recorded in the table below (higher values indicate more pain). Construct a 90% confidence interval forthe true mean difference in pain after hypnosis.Perceived pain levels 'Pre' and 'Post' hypnosis for 8 subjectsPre12.010.27.511.010.912.012.212.6Post10.39.011.710.413.08.99.011.6Differencea) 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. Itturns 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 truemean 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 nearestdecimal, 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)tog) Based on your confidence interval in part (f), does the data seem to suggest strong evidence that this form of hypnosis has aneffect 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.

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Description: R2 A research team is interested in the effectiveness of hypnosis in reducing pain. The responses from 8 randomly selected patientsbefore and after hypnosis are recorded in the table below (higher values indicate more pain). Construct a 90% confidenc

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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:

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

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

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Question

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.

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