A population of values has a normal distribution with μ=168μ=168
and σ=47.2σ=47.2. You intend to draw a random sample of size
n=43n=43.
Find the probability that a sample of size n=43n=43 is randomly
selected with a mean less than 173.
P(M < 173) =
Enter your answers as numbers accurate to 4 decimal places.
Solution :
Given that ,
= 168
= / n = 47.2 / 43 = 7.20
P(M < 173) = P((M - ) / < (173 - 168) / 7.20 )
= P(z < 0.69)
Using z table
= 0.7549
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