3. Major League Baseball officials have been concerned about the lengths of games, particularly playoff games. Officials are concerned that the mean length of a playoff game is longer than the mean length of a regular season game. (hint: sample 1 is playoff, sample 2 is regular season) A random sample of 30 playoff games over the past 10 years had an average length of 189.3 minutes. A random sample of 32 regular season games over the past 10 years had an average length of 175.8 minutes. Assume the sample standard deviations of the playoff and regular season games are 25 and 21 minutes, respectively. Hypotheses, given a 10% level of significance: test to see if playoff game time is longer. Playoff Game Regular Season Ho: Pooled variance = crit Ha: stat Sample Size Average Length of Game Sample Standard Deviation tails alpha pvalue

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