Answer:
( 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
