Question

pizza delivery the average time it takes to get a pizza delivered to a home is 30 minutes. if the standard deviation is 7 minutes, find the corresponding 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 25 minutes is

Explanation:

Step1: Recall the 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 the values of $x$, $\mu$, and $\sigma$

Given that $x = 25$ minutes, $\mu=30$ minutes, and $\sigma = 7$ minutes.

Step3: Substitute the values into the formula

Substitute $x = 25$, $\mu = 30$, and $\sigma=7$ into the formula: $z=\frac{25 - 30}{7}$.

Step4: Calculate the numerator

First, calculate the numerator: $25-30=-5$.

Step5: Calculate the z - score

Then, calculate the z - score: $z=\frac{-5}{7}\approx - 0.71$.

Answer:

$-0.71$