The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport. Small Medium Large Regular Coffee 14% 20% 26% Black Coffee 20% 10% 10% Consider randomly selecting such a coffee purchaser. What is the probability that the individual purchased a small cup? What is the probability that the individual purchased a cup of black coffee? If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose black coffee, and how would you interpret this probability? If we learn that the selected individual purchased black coffee, what now is the probability that a small size was selected?
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.
The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport.
|
|
Small |
Medium |
Large |
|
Regular Coffee |
14% |
20% |
26% |
|
Black Coffee |
20% |
10% |
10% |
Consider randomly selecting such a coffee purchaser.
- What is the
probability that the individual purchased a small cup? - What is the probability that the individual purchased a cup of black coffee?
- If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose black coffee, and how would you interpret this probability?
- If we learn that the selected individual purchased black coffee, what now is the probability that a small size was selected?
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