Question

Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed with a mean of 0.2 and a standard deviation of 0.05. The middle 95% of the player will have a lower bound of:____.a. 0.19.b. 0.03.c. 0.30.d. 0.07.

Answer 1

0.1

Explanation:

Solving using empirical rule formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Hence, the lower bound 95% =

μ - 2σ

Mean = 0.2

Standard deviation of 0.05

= μ - 2σ

= 0.2 - 2(0.05)

= 0.2 - 0.1

= 0.1

The lower bound is 0.1