The table describes (approximately) the distribution of students by gender and college at a mid-sized public university in the West. Suppose that we will randomly select one student from this university. College Gender Education Engineering Liberal Arts Science and Math Agriculture Business Architecture Male 100 3,400 2,200 1,000 2,200 2,400 100 Female 200 1,400 1,200 1,000 1,000 2,400 200 (a) What is the probability that the selected student is a male? (Round your answer to three decimal places.) (b) What is the probability that the selected student is in the College of Education? (Round your answer to three decimal places.)
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.
| College | |||||||
|---|---|---|---|---|---|---|---|
| Gender | Education | Engineering | Liberal Arts |
Science and Math |
Agriculture | Business | Architecture |
| Male | 100 | 3,400 | 2,200 | 1,000 | 2,200 | 2,400 | 100 |
| Female | 200 | 1,400 | 1,200 | 1,000 | 1,000 | 2,400 | 200 |
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