Question

In: Statistics and Probability

A population of values has a normal distribution with μ=195μ=195 and σ=3.7σ=3.7. You intend to draw...

A population of values has a normal distribution with μ=195μ=195 and σ=3.7σ=3.7. You intend to draw a random sample of size n=230n=230.

Find the probability that a single randomly selected value is between 194.9 and 195.3.
P(194.9 < X < 195.3) =

Find the probability that a sample of size n=230n=230 is randomly selected with a mean between 194.9 and 195.3.
P(194.9 < ¯xx¯ < 195.3) =

Enter your answers as numbers accurate to 4 decimal places. Answers should be obtained using zz scores correct to two decimal places.

Solutions

Expert Solution

part a)

Standardizing the value

Part b)

Standardizing the value


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