A sports reporter suggests that professional baseball players must be, on average, older than professional football players, since football is a contact sport and players are more susceptible to concussions and serious injuries. Players were selected at random from both professional baseball (MLB) and professional football (NFL). The data are summarized below. MLB | NFL 47 | Sample mean | 27.7 | 25.5 Sample size | 43 Sample SD 2.8 | 3.3 Consider the hypothesis testing problem Ho : µi S H2 against Ha : µi > µ2 where ui is the mean age of the players in professional baseball (MLB), and u2 is the mean age of the players in professional football (NFL). Calculate the test statistic in a two-sample t-test assuming equal variances.

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A sports reporter suggests that professional baseball players must be, on average,
older than professional football players, since football is a contact sport and players
are more susceptible to concussions and serious injuries. Players were selected at
random from both professional baseball (MLB) and professional football (NFL). The
data are summarized below.
|
MLB |
NFL
Sample size |
Sample mean | 27.7 | 25.5
47 |
43
Sample SD
|
2.8 |
3.3
Consider the hypothesis testing problem
Ho : µi < u2 against Ha : p1 > µ2
Hi s HZ against
На:
where u1 is the mean age of the players in professional baseball (MLB), and u2 is
the mean age of the players in professional football (NFL). Calculate the test statistic
in a two-sample t-test assuming equal variances.
Transcribed Image Text:A sports reporter suggests that professional baseball players must be, on average, older than professional football players, since football is a contact sport and players are more susceptible to concussions and serious injuries. Players were selected at random from both professional baseball (MLB) and professional football (NFL). The data are summarized below. | MLB | NFL Sample size | Sample mean | 27.7 | 25.5 47 | 43 Sample SD | 2.8 | 3.3 Consider the hypothesis testing problem Ho : µi < u2 against Ha : p1 > µ2 Hi s HZ against На: where u1 is the mean age of the players in professional baseball (MLB), and u2 is the mean age of the players in professional football (NFL). Calculate the test statistic in a two-sample t-test assuming equal variances.
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