A population of values has a normal distribution with μ=72.1μ=72.1 and σ=87.9σ=87.9. You intend to draw...

A population of values has a normal distribution with μ=72.1μ=72.1 and σ=87.9σ=87.9. You intend to draw a random sample of size n=64n=64.

Find the probability that a single randomly selected value is greater than 53.4.
P(X > 53.4) =

Find the probability that a sample of size n=64n=64 is randomly selected with a mean greater than 53.4.
P(¯xx¯ > 53.4) = Enter your answers as numbers accurate to 4 decimal places.

Expert Solution

Solution-

1)The probability that a single randomly selected value is greater than 53.4.
P(X > 53.4) = 0.5842

2)The probability that a sample of size n=64 is randomly selected with a mean greater than 53.4.
P(x¯ > 53.4) = 0.9556

orchestra answered 1 year ago

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