Your favorite statistics professor is starting up a UNO Genius Club, and you really want to get in. Everyone enrolled at UNO is eligible to take the qualifying exam and 8,647 students take the exam. You show up to take the test on a Sunday morning. Your professor announces on Monday that the distribution of scores was normal with a mean test score of 120 and a standard deviation of 14. Answer questions 24-28 using this information. What percentage of students scored above 112? **Don’t round z scores while calculating; round final answer to 2 decimals. 1) draw the normal curve, 2) plot the z-scores, and 3) shade in the area of interest.
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.
Your favorite statistics professor is starting up a UNO Genius Club, and you really want to get in. Everyone enrolled at UNO is eligible to take the qualifying exam and 8,647 students take the exam. You show up to take the test on a Sunday morning. Your professor announces on Monday that the distribution of scores was normal with a mean test score of 120 and a standard deviation of 14. Answer questions 24-28 using this information.
What percentage of students scored above 112?
**Don’t round z scores while calculating; round final answer to 2 decimals.
1) draw the normal curve, 2) plot the z-scores, and 3) shade in the area of interest.
Let, X: Test score of a student.
n = 8647
Mean = = 120
Standard deviation = = 14
X ~ Normal ( = 120, = 14)
We have to find what percentage of students scored above 112.
Also,
1) Draw the normal curve 2) Plot the z-scores and 3) Shade in the area of interest.
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