a machine packages bags of almonds. the weights of the bags are normally distributed with a mean of 14…
a machine packages bags of almonds. the weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces. enter the z - score of a bag of almonds that weighs 12.2 ounces.
Answer
Explanation:
Step1: Recall z - score formula
The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the data set, $\mu$ is the mean, and $\sigma$ is the standard deviation.
Step2: Identify values
We are given that $\mu = 14$, $\sigma=1.2$, and $x = 12.2$.
Step3: Substitute values into formula
$z=\frac{12.2 - 14}{1.2}=\frac{- 1.8}{1.2}=-1.5$
Answer:
$-1.5$