Chamberlain x D Course Hom X C The Time Spe x Take a Test x G normal dist x norm

Question

Chamberlain x D Course Hom X C The Time Spe x Take a Test x G normal dist x norma able X C Secure https:// com aspx?testld 151954383 www.mathxl /Student/PlayerTest Applied Managerial Statistics (100) Tiesha McGrew & Quiz: Final Exam Time Remaining: 03:19:21 Submit Quiz This Question: 14 pts 14 of 24 (19 complete) This Quiz 250 pts possible 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. 208 (a) What waiting time represents the 14th percentile? o 26.3 (b) What waiting time represents the third quartile? 108 208 308 Days (a) The waiting time that represents the 14th percentile is 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.) Enter your answer in each of the answer boxes. 3:41 AM Ask me anything 2/22/2017

Explanation / Answer

A) Z score for 14th percentile (0.14) = -1.08

Z= (X-M)/sd

M= 208 and sd = 26.3

So, (X-208)/26.3 = -1.08

X= 179.6

Waiting time that represents 14th percentile is180

B) Third quartile = 75%

So, Z score corresponding to 0.75 = 0.675

So, (X-208)/26.3 = 0.675

X = 225.75

So, the waiting time that represents the third quartile is 226

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