Find z, given the following. (Give your answer correct to two decimal places.) x = 233, mu = 223, sigma = 12.2 z = ?

Find z, given the following. (Give your answer correct to two decimal places.) x = 233, mu = 223, sigma = 12.2 z = ?

Question
Decimals
asked 2020-12-25
Find z, given the following. (Give your answer correct to two decimal places.)
\(x = 233,\ \mu = 223,\ \sigma = 12.2\)
\(z = ?\)

Answers (1)

2020-12-26
Step 1
Solution
Given:
Raw score \((X) = 233\)
Population mean \((\mu) = 223\)
Population standard deviation \((\sigma) = 12.2\)
Step 2
Formula: \(z=\ \frac{x\ -\ \mu}{\sigma}\)
Plug in all the given values in the formula, we get
\(z=\ \frac{233\ -\ 223}{12.2}\)
\(z = 0.819672131\)
Round to two decimals
\(\therefore\ z=0.82\)
0

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