A volunteer with a test score between __ and __ can participate in the study
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.
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A researcher who is in charge of an educational study wants subjects to perform some special skill. Fearing that people who are unusually talented or unusually untalented could distort the results, he decides to use people who scored in the middle 60% on a certain test. If the mean for the population is 100 and the standard deviation is 10, find the two limits (upper and lower) for the scores that would enable a volunteer to participate in the study. Assume the scores are
Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round your answer to the nearest whole number.
we are given
mean = 100
standard deviation = 10
we need to the middle 60% data range
i.e we need the value of the 20th percentile and 80th percentile
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