Suppose the scores on an exam havea mean of 70 with a standard deviation of 10. If one student has a test result with a z-score of -0.8 and a second student has a test result with a Z-score of l.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26
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 the scores on an exam have a mean of 70 with a standard deviation of 10. If one
student hasa test result with a z-score of -0.8 and a second student has a test result with a
Z-score of 1.8, how many points higher was the second student's score than that of the first?
O a. 10
O b. 20
O c. 2.6
O d. 13
O e. 26](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f0fa18c-6905-4e35-9c4a-49cc1b0a1488%2Fec9b4a71-34b6-448a-845f-7fe32695ba93%2Fsb8jywg_processed.jpeg&w=3840&q=75)
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