A population of values has a normal distribution with

Find the probability that a sample of size

Write your answers as numbers accurate to 4 decimal places.

mattgondek4
2020-11-08
Answered

A population of values has a normal distribution with

Find the probability that a sample of size

Write your answers as numbers accurate to 4 decimal places.

You can still ask an expert for help

Mayme

Answered 2020-11-09
Author has **103** answers

Step 1

Given Information:

$\mu =129.7$

$\sigma =7.7$

$n=10$

Step 2

The probability that a sample of size$n=10$ is randomly selected with a mean less than 130.9.

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=\frac{130.9-129.7}{\frac{7.7}{\sqrt{n}}}=0.4928$

By referring to the z distribution, the p-value at$z=0.492$ is 0.311

Therefore, The probability that a sample of size$n=10$ is randomly selected with a mean less than 130.9 is 0.311

Given Information:

Step 2

The probability that a sample of size

By referring to the z distribution, the p-value at

Therefore, The probability that a sample of size

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