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.
[tex]z=\frac{x-\mu}{\sigma}[/tex], where,
z = Z-score,
x = Sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Upon substituting our given values, we will get:
[tex]z=\frac{147-133}{10}[/tex]
[tex]z=\frac{14}{10}[/tex]
[tex]z=1.4[/tex]
Therefore, the z-score for this box of cereal is 1.4.
