Solution;
Given that,
μ =1.85 pounds,
σ=1.05,
n =50
For a random sample of size n= 50, sample mean is equal to the
population mean
i.e. μx̄ = μ =1.85
and
sample standard deviation can be calculated as
σx̄=σ/(√n)
=1.05/(√50)
= 0.1485
P(x̄<=1.7)
=p{[(x̄- μx̄ )/σx̄]<=[(1.7 - 1.85)/0.1485]}
=P(z<= -1.01)
=0.1562
= 0.156 .......(3 decimal place)
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