# a study was conducted to measure the effectiveness of hypnotism in reducing pain. the measurements are centimeters on a pain scale before and after hypnosis. assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. construct a 95% confidence interval for the mean of the beforeafter differences. does hypnotism appear to be effective in reducing pain?

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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before 5.3 4.6 11.4 11.3 13.0 8.5 7.1 6.8 After 6.4 2.2 7.2 8.4 8.1 6.2 3.5 2.2 Construct a 95% confidence interval for the mean of the "before - after" differences.

## A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before 5.3 4.6 11.4 11.3 13.0 8.5 7.1 6.8 After 6.4 2.2 7.2 8.4 8.1 6.2 3.5 2.2 Construct a 95% confidence interval for the mean of the "before - after" differences.

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Transcribed Image Text:A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval for the mean of the "before - after" differences. Does hypnotism appear to be effective in reducing pain? Before 5.3 4.6 11.4 11.3 13.0 8.5 7.1 6.8 After 6.4 2.2 7.2 8.4 8.1 6.2 3.5 2.2 Construct a 95% confidence interval for the mean of the "before - after" differences.Expert Solution

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## A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are sim

Answer to: A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and...

Binomial proportion confidence interval

## A study was conducted to measure the effectiveness of hypnotism in reducing pain. The...

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The... Question:

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal.

Before 10.9 4.3 10.6 11.6 12.3 10.4 2.5 4.5

After 6.5 2.4 7.4 8.9 8.5 6.8 3.4 2.1

a. Construct a 95% confidence interval for the mean of the "before - after" differences.

b. Does hypnotism appear to be effective in reducing pain?

A. Yes, because the confidence interval includes zero.

B. Yes, because the confidence interval does not include zero and is entirely greater than zero.

C. No, because the confidence interval does not include zero and is entirely greater than zero.

D. No, because the confidence interval includes zero.

## Confidence Interval:

If the confidence interval for a specific parameter is calculated and it includes zero, it means there are chances that the relationship is not significant.

## Answer and Explanation:

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Before (x) After (y) d=x-y d*d

10.9 6.5 4.4 19.36 4.3 2.4 1.9 3.61

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### Learn more about this topic:

Finding Confidence Intervals with the Normal Distribution

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Chapter 9 / Lesson 3

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This lesson provides instruction for finding confidence intervals with normal distribution. Learn about standard deviation and when it applies, as well as how to calculate confidence intervals with a detailed example.

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## A study was conducted to investigate the effectiveness of hy

Find step-by-step Statistics solutions and your answer to the following textbook question: A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the accompanying table (based on "An Analysis of Factors That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96, No. 1). The values are before and after hypnosis; the measurements are in centimeters on a pain scale. Higher values correspond to greater levels of pain. Construct a 95% confidence interval for the mean of the "before/ after" differences. Does hypnotism appear to be effective in reducing pain? $$ \begin{array} { |c | c | c | c | c | c | c | } \hline \text{Subject}&A & { B } & { C } & { D } & { E } & { F } & { G } & { H } \\ \hline \text{Before}&6.6 & { 6.5 } & { 9.0 } & { 10.3 } & { 11.3 } & { 8.1 } & { 6.3 } & { 71.6 } \\ \hline \text{After}&6.8 & { 2.4 } & { 7.4 } & { 8.5 } & { 8.1 } & { 6.1 } & { 3.4 } & { 2.0 } \\ \hline \end{array} $$.

### Question

A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the accompanying table (based on "An Analysis of Factors That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96, No. 1). The values are before and after hypnosis; the measurements are in centimeters on a pain scale. Higher values correspond to greater levels of pain. Construct a 95% confidence interval for the mean of the "before/ after" differences. Does hypnotism appear to be effective in reducing pain?

\begin{array} { |c | c | c | c | c | c | c | } \hline \text{Subject}&A & { B } & { C } & { D } & { E } & { F } & { G } & { H } \\ \hline \text{Before}&6.6 & { 6.5 } & { 9.0 } & { 10.3 } & { 11.3 } & { 8.1 } & { 6.3 } & { 71.6 } \\ \hline \text{After}&6.8 & { 2.4 } & { 7.4 } & { 8.5 } & { 8.1 } & { 6.1 } & { 3.4 } & { 2.0 } \\ \hline \end{array}

Subject Before After A 6.6 6.8 B 6.5 2.4 C 9.0 7.4 D 10.3 8.5 E 11.3 8.1 F 8.1 6.1 G 6.3 3.4 H 71.6 2.0

### Explanation

Verified Given: c=95\%=0.95 c=95%=0.95 n=8 n=8

Determine the difference in value of each pair.

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### Related questions

STATISTICS

A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the accompanying table. The values are before and after hypnosis; the measurements are in centimeters on a pain scale.

\begin{matrix} \text{Subject} & \text{A} & \text{B} & \text{C} & \text{D} & \text{E} & \text{F} & \text{G} & \text{H}\\ \text{Before} & \text{6.6} & \text{6.5} & \text{9.0} & \text{10.3} & \text{11.3} & \text{8.1} & \text{6.3} & \text{11.6}\\ \text{After} & \text{6.8} & \text{2.4} & \text{7.4} & \text{8.5} & \text{8.1} & \text{6.1} & \text{3.4} & \text{2.0}\\ \end{matrix}

Subject Before After A 6.6 6.8 B 6.5 2.4 C 9.0 7.4 D 10.3 8.5 E 11.3 8.1 F 8.1 6.1 G 6.3 3.4 H 11.6 2.0

Does hypnotism appear to be effective in reducing pain?

PSYCHOLOGY

In which of these domains has hypnotism shown the most effectiveness?

STATISTICS

A clinical study is conducted to investigate the effectiveness of the drug Dozenol for treating insomnia. It was found that there is a correlation between the amount of Dozenol taken and the length of sleep. Based on this statistical analysis, can we conclude that Dozenol is the cause of sleep? Why or why not?

QUESTION

Why was the study described conducted as an observational study instead of an experiment?

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