Pete's Pizza has a mean delivery time of 29 minutes with a standard deviation of 3 minutes. Determine the z-score for the number of pizzas delivered in less than 25 minutes.

−1.33
1.33
8.33
9.67

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]

Answer:

-1.33

Step-by-step explanation: