Question

problem 1
nutritionists measured the sugar content (in grams) for 32 drinks at jakes java coffee shop. the drinks had a mean of 18 g and a standard deviation of 5 g, and the distribution was roughly symmetric.
a grande mocha cappuccino at jakes java contains 14 g of sugar.
calculate the standardized score (z-score) for the grande mocha cappuccino.
$z = \square$
check

Explanation:

Step1: Recall z-score formula

The z-score formula is $z = \frac{x - \mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify given values

$x = 14$, $\mu = 18$, $\sigma = 5$

Step3: Substitute values into formula

$z = \frac{14 - 18}{5}$

Step4: Calculate the result

$z = \frac{-4}{5} = -0.8$

Answer:

$z = -0.8$