A study was done on the batting averages for two baseball players: Hitmore and Bunter. Data were collected over a period of time
for baseball parks that are natural and artificial turf. It was found that Hitmore does better overall (.e., has a better batting average). However, for both natural and artificial turf separately, Bunter does better. Which of the following is correct? This is an example of a negative association between variables.
This is an example of Simpson's Paradox.
"Turf" is a lurking variable in this example
Both (B) and (C) are correct
This situation is mathematically impossible
Explaining in simple terms, The Simpson's paradox simply describes a phenomenon which occurs when observable trends in a relationship, which are obvious during singular evaluation of the variables disappears when each of this relationships are combined. This is what played out when hitmire appears to d well on both of natyraknamd artificial turf when separately compared, but isn't the same when the turf data was combined. Also, performance may actually not be related to the turf as turf may Just be. a lurking variable causing a spurious association in performance.
Use Pythagorean theorem to solve. a^2 + b^2 = c^2 6^2 + b ^2 = 14^2 36 + b^2 = 196 Subtract 36 from both sides. b^2 = 196-36 b^2 = 160 Take the square root of both sides. b = sqrt 160 As a decimal b = 12.649 As a simplified radical b = 4sqrt10
