Question

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

What is the z-score for a patient who takes ten days to recover?

a. 1.5

b. 0.2

c. 2.2

d. 7.3

Short answer

Option (c) is the correct answer because the value of the z-score of ten days is$2.2$.

Step-by-step solution

Given information

Given in the question that

Mean$=5.3$

Standard deviation$=2.1$

Solution

Here we need to calculate the z-score of $10$days

$z-\text{score}=\frac{10-\mu }{\sigma }$

$=\frac{10-5.3}{2.1}$

$=\frac{4.7}{2.1}$

$\approx 2.2$