The heights of adult women are normally distributed with a mean of 62.5 inches and a standard deviation of 2.5 inches. Determine between what two heights 99.7% of adult women will fall.

(55, 70) interval in which we find 99,7 % of women heights

Step-by-step explanation:

In Nomal Distribution, N (0,1) we know the intervals:

(μ₀ ± σ) contains 68,3 % of all values of population

(μ₀ ± 2 σ) contains 95,4 % of all values of population

(μ₀ ± 3 σ) contains 99,7 % of all values of population

In our case, as μ = 62,5 and standard deviation σ = 2,5 we have that these intervals becomes:

(62,5 - 2,5, 62,5 + 2,5) ⇒ (60, 65)

(62,5 - 2*2,5, 62,5 + 2 * 2,5) ⇒ (57,5, 67,5)

And

(62,5 - 3*2,5, 62,5 + 3 * 2,5) ⇒ (55, 70)

This interval contains 99,7 % of all values