Question: Researchers have often noted increases in violent crimes when it is very hot. In fact, it it is noted that this relationship even extends to baseball. That is, there is a much greater chance of a batter being hit by a pitch when the temperature increases. Consider the following hypothetical data. Suppose that over the past 30 years, during any given week of the major-league season, an average of u=12 players are hit by wild pitches. Assume that the distribution is nearly normal with o=3. For a sample of n=4 weeks in which the daily temperature was extremely hot, the weekly average of hit-by-pitch players was M=15.5. Are players more likely to get hit by pitches during hot weeks? Set alpha to .05 for a one-tailed test.