Question

In: Statistics and Probability

A population of values has a normal distribution with μ=37.7μ=37.7 and σ=86.3σ=86.3. A random sample of...

A population of values has a normal distribution with μ=37.7μ=37.7 and σ=86.3σ=86.3. A random sample of size n=248n=248 is drawn.

Find the probability that a single randomly selected value is between 29.5 and 55.2. Round your answer to four decimal places.
P(29.5<X<55.2)=P(29.5<X<55.2)=
Find the probability that a sample of size n=248n=248 is randomly selected with a mean between 29.5 and 55.2. Round your answer to four decimal places.
P(29.5<M<55.2)=P(29.5<M<55.2)=

Expert Solution

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.203, TRUE)" & "=NORM.S.DIST(-0.095, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(3.193, TRUE)" & "=NORM.S.DIST(-1.496, TRUE)" to find the probability.

orchestra answered 1 year ago

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