daily caloric intake according to one source, people eat on average 3780 calories per day. if the standard…
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
Answer
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:
$-2.28$