Question

A population of values has a distribution with μ=197.6 and σ=24.6. You intend to draw a...

A population of values has a distribution with μ=197.6 and σ=24.6. You intend to draw a random sample of size n=19.

(a) What is the mean of the distribution of sample means?

μ¯x= ____?

(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)

σ¯x= ___ ?

(c) In a random sample of n=19, what is the probability that its random sample mean is more than 197.5? Round to three decimal places.

(d) In a random sample of n=19, what is the probability that its random sample mean is less than 192.5? Give your answer to three decimal places.

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