QUESTION 1 salaries are normally distributed. Mrs. Smith is a teacher who has an annual salary of $60,000. What kind of z-score will Mrs. Smith have? Suppose teachers in a certain state earn an annual salary of $54,600, on average. The standard deviation is $10,200. The O A. Negative O B. Positive OC. zero QUESTION 2 Suppose teachers in a certain state earn an annual salary of $54,600, on average. The standard deviation is $10,200. The salaries are normally distributed. Mrs. Myers is a teacher who earns $45,000 annually. What kind of z-score will Mrs. Myers have? O A Negative B.Zero OC. Positive
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.
Z score is given by,
Z= (X - mean)/standard deviation
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