The histogram below gives the length of service of members of the Department of Chemistry at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have 25 or more years of service? (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 5 and 35 years of service? (c) What is the probability the representative above will have less than 30 years of service given that the person has less than 35 years of service?
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 histogram below gives the length of service of members of the Department of Chemistry at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty.
(a) What percent of the department faculty have 25 or more years of service?
(b) If a member of the department is chosen at random to serve on a university committee, what is the
(c) What is the probability the representative above will have less than 30 years of service given that the person has less than 35 years of service?
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