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A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's avera points per game (PPG) and
A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's avera points per game (PPG) and his average minutes per game (MPG). The accompanying table lists a portion of the data that he collected for ten players. (You may find it useful to reference the t table.) Player PPG MPG 1 29.9 37.0 2 26.9 36.1 10 21.2 36.0 picture Click here for the Excel Data File a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round final answer to 4 decimal places.) Sample correlation coefficient a-2. Interpret the sample correlation coefficient between PPG and MPG. The correlation coefficient indicates a positive linear relationship. O The correlation coefficient indicates a negative linear relationship. O The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation between PPG and MPG is positive. Ho: Pxy Ho: Pxy Ho: Pxy 0; HA: Pxy 0; HA: Pxy > 0 < 0 = 0; HA: Pxy # 0 c-1. Calculate the value of the test statistic. (Round final answer to 3 decimal places.) c-2. Find the p-value. O p-value 0.10 O 0.01 p-value < 0.025 O 0.05 s p-value < 0.10 p-value < 0.01 O 0.025 s p-value < 0.05 d. At the 5% significance level, what is the conclusion to the test? Reject Ho; we can state PPG and MPG are positively correlated. Reject Ho; we cannot state PPG and MPG are positively correlated. Do not reject Ho; we can state PPG and MPG are positively correlated. Do not reject Ho; we cannot state PPG and MPG are positively correlated. Player PPG MPG 1 29.9 37 2 26.9 36.1 3 25.4 34.6 4 24.4 35.8 5 24.3 34.7 6 23.7 37.7 7 21.4 37.2 8 00 21.4 33.3 9 21.3 36.9 10 21.2 36
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