A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are in centimeters on a pain scale before and after hypnosis. Assume normality assumption is satisfied for this case. Use a 0.025 significance level to test the the effectiveness of hypnotism in reducing pain. The two samples are dependent/matched. So you need to find the differences first, the calculated the mean and the standard deviation of the differences D = 2.05, sD = 1.524. Before 8.9 3.3 7.6 9.6 10.6 8.3 7.3 7.2 After 5.9 2.7 7.2 8.8 8.9 6.6 3.6 2.7 Difference 3.0 0.6 0.4 0.8 1.7 1.7 3.7 4. a. State the null and alternative hypotheses. b. List the correct critical value(s) and calculate the test statistic. c. What is your conclusion based on the test statistic and the critical value(s) obtained part (b)?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Effectiveness of Hypnotism in Reducing Pain. A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are in centimeters on a pain scale before and after hypnosis. Assume normality assumption is satisfied for this case. Use a 0.025
significance level to test the the effectiveness of hypnotism in reducing pain. The two samples are dependent/matched. So you need to find the differences first, the calculated the mean and the standard deviation of the differences D = 2.05, sD = 1.524.
Before 8.9 3.3 7.6 9.6 10.6 8.3 7.3 7.2
After 5.9 2.7 7.2 8.8 8.9 6.6 3.6 2.7
Difference 3.0 0.6 0.4 0.8 1.7 1.7 3.7 4.
a. State the null and alternative hypotheses.
b. List the correct critical value(s) and calculate the test statistic.
c. What is your conclusion based on the test statistic and the critical value(s) obtained part (b)?
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