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Chapter 13: Problem 42

Suppose you want to determine whether meditation can cause a decrease in pulse rate. You randomly select 15 students, teach them a meditation technique, and then measure their pulse rates before and after meditation. Which test(s) should you choose for each situation? a. Assume that your analysis shows that the differences in pulse rates are Normally distributed. b. Assume that the distributions of differences in pulse rates are strongly skewed.

Short Answer

Expert verified
The suitable statistical test for normal distribution of the differences in pulse rates is paired t-test and for skewed distribution of differences, the Wilcoxon Signed-Rank test would be the ideal choice.

Step by step solution

01

Understand the problem scenario

The problem implies that we are studying the effect of meditation on the pulse rate of students. The pulse rates are measured before and after teaching them a certain meditation technique. For each student, the measure of interest is the difference between their pulse rate before and after the intervention (i.e., meditation). The goal is to determine whether, on average, there is a decrease in pulse rate after meditation.
02

Determine test for normal distribution

Assuming that the differences in pulse rates are normally distributed, the paired t-test is an appropriate choice. The paired t-test tests whether the average difference (i.e., average decrease in pulse rate) is significantly different from zero. If this is significant, then it shows that meditation has caused a decrease in pulse rate.
03

Determine test for skewed distribution

Assuming that the distributions of differences in pulse rates are strongly skewed, the non-parametric equivalent of the paired t-test, which is Wilcoxon Signed-Rank test, should be employed. This approach is robust to skewness of the distribution. The null hypothesis of this test is that the median difference in pulse rates before and after meditation is equal to zero.

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