Question

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A normal distribution has a mean of 240 and a standard deviation of 4.8.

What is a z-score of 230?

What is a z-score of 245?

Round to the nearest hundredth.

Enter your answers in the boxes.

A Z-score of 230 is .

A Z-score of 245 is

Answer 1

hello

Answer 2

If \(X\) is normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\), then the \(z\) score for \(X=x\) can be computed by solving for \(Z\):
\[Z=\frac{X-\mu}{\sigma}\]