# 1. A population with \mu = 587 and \sigma = 12 is transformed into z

1. A population with $\mu =587$ and $\sigma =12$ is transformed into z-scores. After the transformation, what is the standard deviation for the population of z-scores?
2.A population with $\mu =58$ and $\sigma =12$ is transformed into z-scores. After the transformation, what is the mean for the population of z-scores?
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Annie Midgett
Step 1:
z-score:
The mean and standard deviation of the standard normal distribution is 0 and 1, respectively. The formula for z score is given as follows:
$z=\frac{x-\mu }{\sigma }$
Step 2
1.Standard deviation for the population of z-scores:
After the transformation, the standard deviation for the population of z-scores is 1.
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rerCessbalmuh
Step 2
2.Mean for the population of z-scores:
After the transformation, the mean for the population of z-scores is 0.