51. Western University has only one women's softball scholarship remaining for the com- ing year. The final two players that Western is considering are Allison Fealey and Emily Janson. The coaching staff has concluded that the speed and defensive skills are virtually identical for the two players, and that the final decision will be based on which player has the best batting average. Crosstabulations of each player's batting performance in their junior and senior years of high school are as follows: Allison Fealey Emily Janson Outcome Junior Senior vy Outcome Junior Senior Hit No Hit 15 75 25 175 Total At-Bats 40 250 Hit No Hit Total At Bats 70 35 130 85 200 120 A player's batting average is computed by dividing the number of hits a player has by the total number of at-bats. Batting averages are represented as a decimal number with three places after the decimal. a. Calculate the batting average for each player in her junior year. Then calculate the batting average of each player in her senior year. Using this analysis, which player should be awarded the scholarship? Explain. b. Combine or aggregate the data for the junior and senior years into one crosstabulation as follows: de mob ovation to 20 The funds mised On Player Outcome Hit Fealey Janson 168 No Hit C. Total At-Bats Calculate each player's batting average for the combined two years. Using this analysis, which player should be awarded the scholarship? Explain. Are the recommendations you made in parts (a) and (b) consistent? Explain any apparent inconsistencies.