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Chapter 6: Q. 25 (page 385)

Suppose a normal distribution has a mean of six and a standard deviation of 1.5. What is the z-score of x = 5.5?

Short Answer

Expert verified

The value of thezscore is-0.33

Step by step solution

01

Given information

Given in the question that, a normal distribution has a mean of six and a standard deviation of 1.5

The value of x=5.5

We have to find the value ofzscore

02

Explanation 

According to the given information,

X~N(6,1.5)

Where,

μ=6

σ=1.5

x=5.5

We can compute the zscore value as follow:

z=x−μσ

Place the given values in the above equation:

z=5.5−61.5

=−0.51.5

≈−0.33

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