Respuesta :
Answer: First Option
[tex]Z<-1.33[/tex]
Step-by-step explanation:
We know that the mean is:
[tex]\mu=29\ minutes[/tex]
We know that the standard deviation is:
[tex]\sigma=3\ minutes[/tex]
The formula to calculate the Z-scores is:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Where in this case [tex]X=25\ minutes[/tex]
Then the z-score for [tex]X=25\ minutes[/tex] is:
[tex]Z=\frac{25-29}{3}[/tex]
[tex]Z=-\frac{4}{3}[/tex]
The negative number means that the deviation is to the left of the mean. In other words 25minutes is at 1.33 standard deviations to the left of the mean
[tex]Z<-1.33[/tex]