A population of values has a normal distribution with \mu=192.6 and \sigma=34.4. You intend to draw a random sample of size n=173.Find the probability that a single randomly selected value is less than 186.1.P(X < 186.1) =? Write your answers as numbers accurate to 4 decimal places.

midtlinjeg

midtlinjeg

Answered question

2021-02-13

A population of values has a normal distribution with μ=192.6 and σ=34.4. You intend to draw a random sample of size n=173.
Find the probability that a single randomly selected value is less than 186.1.
P(X<186.1)=?
Write your answers as numbers accurate to 4 decimal places.

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2021-02-14Added 98 answers

Step 1
Given:
μ=192.6,
σ=34.4,
n=173.
The Z-score follows standard normal distribution.
Step 2
P[X<186.1]=P[Xμσ<186.1192.634.4]
=P[Z<0.19]=0.4247 (Use standard normal table)
The probability that a single randomly selected value is less than 186.1 is 0.4247.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-17Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?