problem 1\nnutritionists measured the sugar content (in grams) for 32 drinks at jakes java coffee shop. the…

problem 1\nnutritionists 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.\na grande mocha cappuccino at jakes java contains 14 g of sugar.\ncalculate the standardized score (z-score) for the grande mocha cappuccino.\n$z = \\square$\ncheck

problem 1\nnutritionists 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.\na grande mocha cappuccino at jakes java contains 14 g of sugar.\ncalculate the standardized score (z-score) for the grande mocha cappuccino.\n$z = \\square$\ncheck

Answer

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:

$z = -0.8$