You suspect that, on the average, professional baseball players are older than professional football players. A random sample of 30 professional baseball players has a mean age of 28.8 years (assume ó = 4). A random sample of 40 professional football players has a mean age of 26.9 years (assume ó = 3). Test your hypothesis; use the 5% significance level. Be sure to identify the null and alternative hypotheses, identify the appropriate distribution and indicate the tail(s) for the critical region, identify and calculate the test statistic, determine the P-value, make a decision and state a conclusion.

Question

You suspect that, on the average, professional baseball players are older than professional football players.  A random sample of 30 professional baseball players has a mean age of 28.8 years (assume ó = 4).  A random sample of 40 professional football players has a mean age of 26.9 years (assume ó = 3).  Test your hypothesis; use the 5% significance level.   Be sure to identify the null and alternative hypotheses, identify the appropriate distribution and indicate the tail(s) for the critical region, identify and calculate the test statistic, determine the P-value, make a decision and state a conclusion.