Answer:
c. 1.29
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Andy 70578 60000 8200
This means that [tex]X = 70578, \mu = 60000, \sigma = 8200[/tex]
What is the z-score of Andy's salary?
This is Z, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70578 - 60000}{8200}[/tex]
[tex]Z = 1.29[/tex]
So the correct answer is given by option c.
