A population of values has a normal distribution with \mu=129.7 and \sigma=7.7. You intend to draw a random sample of size n=10.Find the probability that a single randomly selected value is less than 130.9. P(X < 130.9) =? Write your answers as numbers accurate to 4 decimal places.

Wierzycaz

Wierzycaz

Answered question

2020-11-05

A population of values has a normal distribution with μ=129.7 and σ=7.7. You intend to draw a random sample of size n=10.
Find the probability that a single randomly selected value is less than 130.9.
P(X<130.9)=?
Write your answers as numbers accurate to 4 decimal places.

Answer & Explanation

pattererX

pattererX

Skilled2020-11-06Added 95 answers

Step 1
Given Information:
μ=129.7
σ=7.7
n=10
Step 2
The probability that a single randomly selected value is less than 130.9
Firstly, z score will be determined.
z=xμσ=130.9129.77.7=0.155
By referring to the z distribution, the p-value at z=0.155 is 0.438
Therefore, the probability that a single randomly selected value is less than 130.9 is 0.438
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

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