Question

Nutritionists measured the sugar content (in grams) for 32 drinks at Jake's Java

coffee shop. The drinks had a mean sugar content of 18g and a standard

deviation of 5g, and the distribution was roughly symmetric.

Question 1: Grande Mocha Cappuccino at Jake's Java contains 14 g of sugar.

Calculate the standardized score (z-score) for the Grande Mocha Cappuccino.

Answer 1

Answer:

$z = -0.8$

Step-by-step explanation:

Given

$n = 32$ --- samples

$\mu = 18g$ --- mean

$\sigma =5g$ --- standard deviation

$x = 14g$ --- observed value

Required

Find the standardized score

This is calculated as:

$z = \frac{x - \mu}{\sigma}$

So:

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

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

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

$z = -0.8$

The standardized score is -0.8