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Correlation Coefficient and Hypothesis testing

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To play at East Texas State University has five scholarships available for the women's basketball team. The head coach provided the two assistant coaches with the names of 10 high school players with potential to play at East Texas State. Each assistant coach attended three games and then ranked the 10 players with respect to potential. To explain, the first coach ranked Norma Tidwell as the best player among the 10 scouted and Jeannie Black the worst.

(see chart)

a. Determine Spearman's rank correlation coefficient.
b. At the .05 significance level, can we conclude there is a positive association between the ranks?

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