Answer:
c. 1.67 standard deviations above the mean
Step-by-step explanation:
The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In which [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.
In this problem, we have that:
[tex]\mu = 8, \sigma = 3[/tex]
Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?
This is Z when X = 13. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13 - 8}{3}[/tex]
[tex]Z = 1.67[/tex]
So this is 1.67 standard deviations above the mean.
