What statement below is true about the ages of these students when considering standard deviations?
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.
Suppose we are comparing the ages of undergraduate students in two statistics classes at two different universities, A and B. The standard deviation of the ages of undergraduate students at university A is 5 years, while the standard deviation of the ages of undergraduate students at university B is 1 year. What statement below is true about the ages of these students when considering standard deviations?
(a) The ages of students at university A are less spread out than the ages of students at university B.
(b) The ages of students at university A are more spread out than the ages of students at university B.
( c) Students at university A are younger than students at university B.
(d) Students at university A are older than students at university B.
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