Two NFL Scouts Are in the Process of Recruiting 7

question 30

Multiple Choice

Two NFL scouts are in the process of recruiting 7 college senior football players (receivers) .After a careful review and evaluation,both scouts ranked the seven receivers in terms of their professional career prospects.The rankings are given below. $$\begin{array} { c c c } \begin{array} { c } \text { Player } \\\text { (Receiver) }\end{array} & \begin{array} { c } \text { Rankings of } \\\text { Scout } 1\end{array} & \begin{array} { c } \text { Rankings of } \\\text { Scout } 2\end{array} \\1 & 3 & 3 \\2 & 2 & 1 \\3 & 1 & 2 \\4 & 4 & 6 \\5 & 5 & 4 \\6 & 7 & 7 \\7 & 6 & 5\end{array}$$
At ? = .05,does it appear that the two scouts have similar opinions about the professional football career prospects of the seven players?

• A)Reject the null hypothesis.
• B)Do not reject the null hypothesis.
• \[\begin{array} { c c c c c }
• \text { Receiver } & \text { Rankings of } & \text { Rcoutkings of } & d _ { i } & d _ { i } ^ { 2 } \\
• 1 & 3 & \text { Scout } 2 & 3 & 0 \\
• 2 & 2 & 1 & 1 & 1 \\
• 3 & 1 & 2 & - 1 & 1 \\
• 4 & 4 & 6 & - 2 & 4 \\
• 5 & 5 & 4 & 1 & 1 \\
• 6 & 7 & 7 & 0 & 0 \\
• 7 & 6 & 5 & 1 & 1 \\
• & & & \text { Total } = & 8
• \end{array}\]
• \[\begin{array} { l }
• \sum d _ { i } ^ { 2 } = 8 \\
• r _ { s } = 1 - \frac { 6 \sum d _ { i } ^ { 2 } } { n \left( n ^ { 2 } - 1 \right) } = 1 - \left[ \frac { ( 6 ) ( 8 ) } { 7 \left( 7 ^ { 2 } - 1 \right) } \right] = 1 - .1429 = .8571
• \end{array}\]

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The degree to which participants are actively involved, interested, and motivated during the learning process.

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