Chapter: Normal Distribution Suppose that in a soccer team, the scores among all players are normally distributed with a mean μ = 182 points and standard deviation σ = 14 points. A trophy is given to each player whose score is at or above the 97th percentile. What is the minimum score needed for a player to receive a trophy? Must show which tables were used, if it's area of the left, and a bell curve or the like. (I have the answer, it's 209, as the soccer scores are whole numbers, and this needs to be rounded up to 209, and that the inverse norm is 0.97, 182, 14)= 208.3311105, but I would like to know all the steps please, and I'm just providing the answer as the last few times the answers didn't match. Thank you. )
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.
Chapter: Normal Distribution
Suppose that in a soccer team, the scores among all players are
Must show which tables were used, if it's area of the left, and a bell curve or the like.
(I have the answer, it's 209, as the soccer scores are whole numbers, and this needs to be rounded up to 209, and that the inverse norm is 0.97, 182, 14)= 208.3311105, but I would like to know all the steps please, and I'm just providing the answer as the last few times the answers didn't match. Thank you. )
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