How many days did it take the patient to recover?

Question

If the recovery time for a surgery is normally distributed with a mean of 6.1 days and a standard deviation of 2.5 days. And the z-score for a recovery time is -1.45, how many days did the patient take to recover?

Answer 1

x = patient recovery time, days

m = mean recovery time, 6.1 days

s = standard deviation of recovery times, 2.5 days

z = (x - m) / s

-1.45 = (x - 6.1) / 2.5

x = (2.5)(-1.45) + 6.1

x = 2.48 days