The National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each vill be selected in what are called mock drafts. Players who are considered to have superior potential as profe football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected. Big Ten ACC PAC-12 SEC College Attended Projected Draft College Attended Projected Draft College Attended Projected Draft College Attended Projected Draft Position Position Position Position Florida State 3 Iowa USC 1 Florida Clemson Michigan St 10 Oregon 7 Alabama 4 Miami 9 Nebraska 11 Oregon 15 Kentucky Georgia Tech 12 Minnesota 26 Washington 16 Texas ASM 13 Louisville 17 Wisconsin 29 UCLA 18 Missouri 14 Wake Forest 20 UCLA 21 Alabama 19 Florida State 24 Stanford 22 LSU 25 Virginia Tech 27 Arizona St 23 LSU 28 Use the Kruskal-Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use a- 0.05. State the null and alternative hypotheses. O H: The populations for the mock draft positions of the four conferences are not all identical. H: The populations for the mock draft positions of the four conferences are identical. • Ho: Median Acc * MedianBig Ten * Median Ac-12 * Mediansec H: Median "ACC acc - Medianig Ten - MedianPAC-12 - MediansEc
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.
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