a)
μ= 69 ,σ= 9
P(x < 60)
z= (x -μ)/σ
= ( 60 - 69)/9
= -1
P(x < 60) = P(z < -1) = 0.1587
b)
np = 2800 * 0.1587 = 444.36 = 444
c)
n =55
P(x< 66)
z= (x -μ)/(σ/sqrt(55))
= ( 66 - 69)/(9/sqrt(55))
=-2.4721
P(x < 66) = P(z < -2.4721) = 0.0067
d)
n = 55
P(x< 70.9)
z= (x -μ)/(σ/sqrt(55))
= ( 70.9 - 69)/(9/sqrt(55))
=1.5656
P(x < 70.9) = P(z < 1.5656) = 0.9413
#a)Since the sample average is above the mean, it is quite likely that the doe population is undernourishe
#option a is correct
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