A sports reporter suggests that professional baseball players must be, on average,older than professional football players, since football is a contact sport and playersare more susceptible to concussions and serious injuries. Players were selected atrandom from both professional baseball (MLB) and professional football (NFL). Thedata are summarized below.|MLB |NFLSample size |Sample mean | 27.7 | 25.547 |43Sample SD|2.8 |3.3Consider the hypothesis testing problemHo : µi < u2 against Ha : p1 > µ2Hi s HZ againstНа:where u1 is the mean age of the players in professional baseball (MLB), and u2 isthe mean age of the players in professional football (NFL). Calculate the test statisticin a two-sample t-test assuming equal variances.

Given: n1 = 47 n2 = 43 X1 = 27.7 X2 = 25.5 S1 = 2.8 S2 = 3.3 Formula Used: Two-sample t-test for…

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.