A boot capsized and sank in a lake. Boned on an assumption of a mean weight of 1

Question

A boot capsized and sank in a lake. Boned on an assumption of a mean weight of 134 lb, the boat was boat was rated to carry 70 passengers (no the load limit was 9, 380 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 170 b. Complete parts and b below. a. Assume that a similar boat is located with 70 passengers, and assume that the weights of people are normally distributed with a mean of 175.3 lb and a standard deviation of 36.4 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 134 lb. The probability is (Round is four decimal places as needed.) b. The beat was rated to carry only 17 passengers, and the load limit was changed to Find the probability that the mean weight of the passenger is than 170 (so that their total weights is greater than the maximum capacity of lb). The probability is (Round to four decimal places as needed.)

Explanation / Answer

b) here std error of mean =36.4/(17)1/2 =8.8283

P(X>!70) =P(Z>(170-175.3)/8.8283)=1-P(Z<-0.6003)=1-0.2741=0.7259

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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