Question

In a recent​ year, the mean time spent waiting for a heart transplant was 126.7 ​days, with a standard deviation of 21.6 days. Waiting times were normally distributed. What is the shortest waiting time that would still place a patient in the longest 15​% of waiting​ times? Show your calculation and the answer rounded to the nearest tenth of a day.

Answer 1

solution Giveo M = 126.7 6 = 21.6 using standard normal table p(z>Z) = 15%. I-p(222) = 0.15 p(222) = 1-oils =0.85. p(221.036) = 0.85 Z = 1.036 using .z. score formula x = 26te = 1.036 X 21.6+ 126.7 x = 149.1