A group of data has a mean of 65 with

Serotoninl7

Serotoninl7

Answered question

2021-11-30

A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the data point is measured at 61 and what is the probability of finding data below the value of 61?

Answer & Explanation

Momp1989

Momp1989

Beginner2021-12-01Added 21 answers

Step 1
According to the provided information,
mean(μ)=65
standard deviation (σ)=5
Step 2
The possible z-score is if the data point is measured at 61 can be calculation as:
z=xμσ
=61655
=45
=0.8
Therefore, the z-score is, if the data point is measured at 61 is -0.8.
Step 3
The probability of finding data below the value of 61 can be calculated as:
P(X<61)=P(Xμσ<61655)
If, Z=Xμσ
P(Z<0.8)=0.2119
Therefore, the probability of finding data below the value of 61 is 0.2119.

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