Question

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.2 days. What is the 90th percentile for recovery times? (Round your answer to two decimal places.)

Answer 1

3.03 days

Step-by-step explanation:

We first look up the Z-score for 90th percentile in the table;

= 1.282

Z score is given by the formula;

X – μ / σ

We are given μ as 5.2 while σ is 2.2. Therefore;

1.282 = X -  5.2 / 2.2

1.282 * 2.2 / 5.2 = X

3.03018 = X

= 3.03