Question

a different coffee shop called ruths roasts serves drinks that contain a mean of 16 g of sugar with a standard deviation of 6 g.
a grande mocha cappuccino at ruths roasts contains 13 g of sugar.
assuming that the distribution of sugar amounts have approximately the same shape, at which shop does this drink have less sugar relative to the other drinks at its respective store?
choose 1 answer:
a this drink has relatively less sugar at jakes java.

Explanation:

Step1: Calculate z-score for the drink

The z-score formula is $z=\frac{x-\mu}{\sigma}$, where $x=13$, $\mu=16$, $\sigma=6$.
$z=\frac{13-16}{6}=\frac{-3}{6}=-0.5$

Step2: Interpret the z-score

A z-score of -0.5 means the drink's sugar content is 0.5 standard deviations below the shop's mean, so it has relatively less sugar compared to other drinks at the store.

Answer:

A. This drink has relatively less sugar at Jake's Java.