QUESTION IMAGE
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 1 of 3 the z score corresponding to 25 minutes is -0.71. part 2 of 3 the z score corresponding to 21 minutes is -1.29. part: 2 / 3 part 3 of 3 the z score corresponding to 33 minutes is
Step1: Recall the z - score formula
The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the raw score, $\mu$ is the mean, and $\sigma$ is the standard deviation.
Given that $\mu = 30$ minutes and $\sigma=7$ minutes, and $x = 33$ minutes.
Step2: Substitute the values into the formula
Substitute $x = 33$, $\mu = 30$, and $\sigma = 7$ into the formula: $z=\frac{33 - 30}{7}$.
Step3: Calculate the z - score
First, calculate the numerator: $33−30 = 3$. Then, $z=\frac{3}{7}\approx0.43$.
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$0.43$