Week 5: x YDo Homework Lynnette X (- c -secure https //www ath co Student Player

Question

Week 5: x YDo Homework Lynnette X (- c -secure https //www ath co Student PlayerHome raspxhomework d 45619744R&question; d 1&flushed; fals & ld 47 32 t back D As i ti, s 3e A dh ne t Applied Managenial Statistics Homework: Week 5 Homework 40 pts Score: 0 of 3 pts 5.3.33 Save 5 of 12 (2 complete) HW Score: 7.5%, 3 of 40 pts Question Help 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 tirne represents the 5th percentile? (b) What waiting tirme represents the third quartile? 24.5 Days lesve answer b) (a) The waiting time that represents the 5th percentile is Round to the nearest integer as needed) days Enter your answer in the answer box and then click Check Answéet part remaining Check Ausw 8:30 PM O Type here to search ^& E3 1:/22/2017

Explanation / Answer

Here = 203 days

= 24.5 days

(a) Let say X is the random days a women aged 35 -49 has to wait for transplant. Let say the 5% percentile is X0

so Pr(X < X0 ) = NORMCDF(X < X0 ; 203 ; 24.5) = 0.05

so Z - value for p - value = 0.05

Z = -1.645 = (X0 - 203)/ 24.5

X0 = 203 - 24.5 * 1.645 =  162.6975 = 163 days

(b) Here the third quartile means P = 0.75

so the Z - value for 0.75 percentile.

Z = 0.6745

0.6745 = (X0 - 203)/ 24.5

X0 = 203 + 24.5 * 0.6745 = 219.5253

Here the 75% percentile = 220

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.