Question

daily caloric intake according to one source, people eat on average 3780 calories per day. if the standard deviation is 325 calories, find the z - score for each raw score. round z scores to at least two decimal places. part: 0 / 3 part 1 of 3 the z score corresponding to 3040 calories is

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

We are given that $\mu = 3780$, $\sigma=325$, and $x = 3040$.

Step3: Calculate z - score

Substitute the values into the formula: $z=\frac{3040 - 3780}{325}=\frac{-740}{325}\approx - 2.28$.

Answer:

$-2.28$