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 will be selected in what are called mock drafts. Players who are considered to have superior potential as professional 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.
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.
![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 will be selected in what are called mock drafts. Players who are considered to have superior potential as professional 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.
АCC
Big Ten
РАС-12
SEC
College
Attended
Projected
Draft
College
Attended
Projected
Draft
College
Attended
Projected
Draft
College
Attended
Projected
Draft
Position
Position
Position
Position
Florida State
Iowa
9
USC
3
Florida
1
Clemson
Michigan St
10
Oregon
6.
Alabama
4
Miami
7
Nebraska
14
Oregon
15
Kentucky
8
Georgia Tech
13
Minnesota
28
Washington
18
Texas A&M
11
Louisville
17
Wisconsin
29
UCLA
19
Missouri
12
Wake Forest
20
UCLA
22
Alabama
16
Florida State
21
Stanford
23
LSU
25
Virginia Tech
26
Arizona St
24
LSU
27
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.
Ho: Median
Median Big Ten
MedianpAC-12 = MedianSEC
%D
ACC
H3: Median,
АСС
+ MedianBig Ten
+ Median PAC-12 + MedianSEC
+ Median Big Ten
Ho: Median,
H: Median AcC
+ Median,
'PAC-12 * MedianSEC
MedianPAC-12 = MedianSEC
АСC
Median Big Ten
%3D
Ho: 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: The populations for the mock draft positions of the four conferences are identical.
H: The populations for the mock draft positions of the four conferences are not all identical.
Ho: Median
H: Median acc
Median Big Ten
MedianpAC-12 = MediansEC
< Median PAC-12
%D
АСC
> Median Big Ten
> MedianSEC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa60cc74a-f41c-44de-8941-1a7cf1dfd109%2F18a78dcd-3e07-48f5-a0a8-daa27d4d8c9e%2F997zna6o_processed.png&w=3840&q=75)
![Find the value of the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to three decimal places.)
p-value
What is your conclusion?
Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa60cc74a-f41c-44de-8941-1a7cf1dfd109%2F18a78dcd-3e07-48f5-a0a8-daa27d4d8c9e%2Fq4gyccn_processed.png&w=3840&q=75)
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