The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. If the mean score was ? = 152 with standard deviation ? = 21, what was the final exam score for each student? (Round your answers to the nearest whole number.) Robert _______ Juan __________ Haley ________ Joel ________ Jan ________ Linda _________
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.
![Robert
1.06
Juan
1.68
Haley
-2.12
Joel
0.00
Jan
-0.74
Linda
1.68](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb11474ed-9b9e-4c4f-9aff-ec3ba6a44683%2Fbe3443be-f139-4aee-b7d3-c7b453726bd3%2F6l1e7nk_processed.png&w=3840&q=75)
![(d) If the mean score was u = 152 with standard deviation o = 21, what was the final exam score for each student? (Round your answers to the nearest whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb11474ed-9b9e-4c4f-9aff-ec3ba6a44683%2Fbe3443be-f139-4aee-b7d3-c7b453726bd3%2Frx1df8_processed.png&w=3840&q=75)
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