Answer:
See below:)
Step-by-step explanation:
a)
mean = 63.6 , s.d = 2.5. We need to compute Pr(58 <= X <= 80)
The corresponding z-values needed to be computed
z1 = (58 - 63.6)/2.5 = -2.24
z2 = (80 - 63.6)/2.5 = 6.56
Therefore, we get:
Pr(58 <= X <= 80) = Pr( (58 - 63.6)/2.5 <= Z <= (80-63.6)/2.5 ) = Pr(-2.24 <= Z <= 6.56)
= 1 - 0.0125 = 0.9875
98.75 % of the women meet the requirements,Hence not too many women are being denied the opportunity to join this branch of the millitary.
b)
z value for lower 1% = -2.3263
corresponding x value = 63.6 - (2.5X2.3263) = 57.78
Z value for upper 2% = 2.0537
corresponding x value = 63.6 + (2.5X2.0537) = 68.73
The new height requirements is between 57.78 and 68.73 inch
