Question

Exhibit 6-3The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.

Refer to Exhibit 6-3. What is the minimum weight of the middle 95% of the players?
Select one:
a. None of the answers is correct.
b. 196
c. 249
d. 151

Answer 1

The middle 95% of the players fall within two standard deviations of the mean. Using the empirical rule, we know that this corresponds to the interval (mean - 2*standard deviation, mean + 2*standard deviation), or (200 - 2*25, 200 + 2*25), which simplifies to (150, 250). Therefore, the minimum weight of the middle 95% of the players is 150 pounds.

The answer is d. 151.