Question

It is found that the number of raisins in a box of a popular cereal is normally distributed, with a mean of 133 raisins per box and a standard deviation of 10 raisins. My cereal box has 147 raisins. What is the z-score for this box of cereal? Round your answer to one decimal place.

Answer 1

Answer:

1.4

Step-by-step explanation:

We have been given that the number of raisins in a box of a popular cereal is normally distributed, with a mean of 133 raisins per box and a standard deviation of 10 raisins. My cereal box has 147 raisins.

To find the z-score for this box of cereal, we will use z-score formula.

$z=\frac{x-\mu}{\sigma}$, where,

z = Z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Upon substituting our given values, we will get:

$z=\frac{147-133}{10}$

$z=\frac{14}{10}$

$z=1.4$

Therefore, the z-score for this box of cereal is 1.4.