An Industrial Organizational (IO) psychologist got some data from a test they did on productivity. They collected productivity scores (from 1-100 points) from n=5 participants. The scores were: 78, 85,64, 90 and 88. a. Find the sample variance, and standard deviation of this group. b. Suppose the µ=76, what is the z score? c. What is the probability of getting this mean-draw the curve! d. What is the SEM for this particular group?
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.
- An Industrial Organizational (IO) psychologist got some data from a test they did on productivity. They collected productivity scores (from 1-100 points) from n=5 participants. The scores were: 78, 85,64, 90 and 88.
a. Find the sample variance, and standard deviation of this group.
b. Suppose the µ=76, what is the z score?
c. What is theprobability of getting this mean-draw the curve!
d. What is the SEM for this particular group?
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