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A population of values has a normal distribution with μ=168μ=168 and σ=47.2σ=47.2. You intend to draw...

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.

Math   Statistics-And-Probability   
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Answer #1

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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