1 In 2014 Joe hit for 40 out of 130 atbats and in 2015 Joe h

1. In 2014, Joe hit for 40 out of 130 at-bats, and in 2015, Joe hit for 113 out of 401 at-bats. Also, in 2014, Babe hit 119 out of 397 at bats, and in 2015, Babe hit for 70 out of 250 at bats. a.) Who was the better hitter in 2014? Who was the better hitter in 2015? b.) In 2016, the manager must select to keep only one of Joe or Babe on the team. Based on the last two years\' data overall, and assuming Babe and Joe are otherwise the same level of player, who should the manager select, and why?

Solution

a)

2014:

Given that Joe hit for 40 out of 130 at-bats in 2014.

                         hitting percentage of joe = 40/130 x 100 = 30.8 %

Given that in 2014, Babe hit 119 out of 397 at bats.

   hitting percentage of Babe = 119/397x 100 = 29.9 %

Hence,

       joe was the better hitter in 2014.

2015:

Given that Joe hit for 113 out of 401 at-bats in 2015.

                         hitting percentage of joe = 113/401 x 100 = 28.1 %

Given that in 2015, Babe hit for 70 out of 250 at bats.

   hitting percentage of Babe = 70 /250 x 100 = 28 %

Hence,

       joe was the better hitter in 2015.

b)

        Average hitting % of joe = [2014 + 2015] /2 = [30.8 % + 28.1 %] / 2 = 29.45 %

     Average hitting % of babe = [2014 + 2015] /2 = [29.9 % + 28.0 %] / 2 = 28.95 %

Since Joe has better average hitting percentage than babe in the last two years,

           Manger should select Joe.