Question

A scientist is interested in the effect of time spent with parents and number of hours

Answer 1

Answer: If X = 5, z=-3

If X = 37, z= 3.4

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation.

As per given , we have

$\mu=20\\\\\sigma=5$

Then , the z-score for x =5

$z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3$

i.e. If X = 5, z=-3

When x =37,then $z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4$

i.e. If X = 37, z= 3.4