Studies show that massage therapy has a variety of health benefits and it is not too expensive (the Wall Street Journal, March 13, 2012). A sample of 10 typical one-hour massagetherapy sessions showed an average charge of $59. The population standard deviation fora one-hour session is s = $5.50.a. What assumptions about the population should we be willing to make if a margin oferror is desired?b. Using 95% confidence, what is the margin of error?c. Using 99% confidence, what is the margin of error?
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.
Studies show that massage therapy has a variety of health benefits and it is not too expensive (the Wall Street Journal, March 13, 2012). A sample of 10 typical one-hour massage
therapy sessions showed an average charge of $59. The population standard deviation for
a one-hour session is s = $5.50.
a. What assumptions about the population should we be willing to make if a margin of
error is desired?
b. Using 95% confidence, what is the margin of error?
c. Using 99% confidence, what is the margin of error?
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