A population of values has a normal distribution with u = 232 and o = 21.4. A random sample of size n = 85is drawn. Find the probability that a sample of size n = 85 is randomly selected with a mean greater

asked Nov 27, 2023 83.6k views

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Given:

$\mu=232,\text{ }\sigma=21.4,\text{ n=85 and M=235.9}$

The z-score value is

$z=\frac{M-\mu}{\frac{\sigma}{\sqrt[]{n}}}$

$\text{ Substitue }\mu=232,\text{ }\sigma=21.4,\text{ n=85 and M=235.9, we get}$

$z=\frac{235.9-232}{\frac{21.4}{\sqrt[]{85}}}$

$z=\frac{\sqrt[]{85}(235.9-232)}{21.4}$

P value from the z table is

We know that

Hence the answer is

Jordanna answered Dec 4, 2023

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