The time spent (in days) waiting for a heart transplant for people ages 35-49 ca

Question

The time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximiated by the normal distribution, as shown in the figure to the right. (a) What waiting time represents the 5th percentile? (b) What waiting time represents the third quartile? 203 23 6 303 Days Click to view page 2 ot the Standard Normal Ta (a) The waiting time that represents the 5th percentiles days (Round to the nearest integer as needed) (b) The waiting time that represents the third quartile is days (Round to the nearest integer as needed)

Explanation / Answer

a) z score corresponding to 5th percentile = -1.645

Hence,

Waiting time = 203 - 1.645*23.6 = 164 days

b) z score corresponding to 3rd quartile = 0.67

Hence,

Waiting time = 203 + 0.67*23.6 = 219 days

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