College

The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between

A. 68.9 inches to 76.1 inches
B. 69.2 inches to 73.8 inches
C. 68.9 inches to 74.1 inches
D. 66.9 inches to 76.1 inches
E. None of the above give an accurate interval

Answer :

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

What is Standard score?

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

Learn more about z-score at:

brainly.com/question/10940255

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Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation