A researcher wants to evaluate the effectiveness of a patch he thinks will significantly decrease lower back pain. Prior to testing, each of n = 8 patients rated their current level of back pain. After wearing the patch for 90 minutes, a second rating is recorded. The data show a mean difference of MD= -4 and SS =56. Do the results indicate a significant decrease? Use α = .01. 1. hypotheses? 2. What is the critical value? 3. What is the calculated test statistic? 4. What is your conclusion and interpretation? 5. What percent of the decrease is actually due to the pain relief patch?
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.
A researcher wants to evaluate the effectiveness of a patch he thinks will significantly decrease lower back pain. Prior to testing, each of n = 8 patients rated their current level of back pain. After wearing the patch for 90 minutes, a second rating is recorded. The data show a mean difference of MD= -4 and SS =56. Do the results indicate a significant decrease? Use α = .01.
1. hypotheses?
2. What is the critical value?
3. What is the calculated test statistic?
4. What is your conclusion and interpretation?
5. What percent of the decrease is actually due to the pain relief patch?
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