sample of 25 students who score a mean of 53. a. Shine claims that these students don't have very high self-esteem, bec points above the population mean. Why can't she make this claim mer the X? b. What should she do? c. What is the z-score for this sample?
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.
![Q. 1
In the population, the average score on a test of self-esteem is 50 (o= 5). You select a random
sample of 25 students who score a mean of 53.
Shine claims that these students don't have very high self-esteem, because they are only 3
points above the population mean. Why cant she make this claim merely by looking at
the X?
b. What should she do?
c. What is the z-score for this sample?
d. What conclusion do you draw about your sample?
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