When faced with a power hitter many baseball teams utilize
When faced with a power hitter, many baseball teams utilize a defensive shift. A shift usually involves putting three infielders on one side of second base against pull hitters. Many believe that a power hitter’s batting average is lower when he faces a shift defense as compared to when he faces a standard defense. Consider the following batting averages of 10 power hitters over the 2010 and 2011 seasons when they faced a shift defense versus when they faced a standard defense. The data set, labeled Shift, can also be found on the text website.

a. Specify the competing hypotheses to determine whether the use of the defensive shift lowers a power hitter’s batting average.
b. What are the value of the test statistic and the p-value?
c. At the 5% significance level, is the defensive shift effective in lowering a power hitter’s battingaverage?
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