A boat capsized and sank in a lake. Based on an assumption of the mean weight of 144 lb, the boat was rated to carry 60 passengers ( so the load limit was 8,640lb) After the boat sank, the assumed mean weight for similar boats was changed from 144 lb to 174 lb. Complete parts a) and b) below. a)assume that a similar boat is loaded with 60 passengers and assume that the weights of the people are normally distributed with a mean of 178.7 lb. and a standard deviation of 38.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 144 lb.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A boat capsized and sank in a lake. Based on an assumption of the mean weight of 144 lb, the boat was rated to carry 60 passengers ( so the load limit was 8,640lb) After the boat sank, the assumed mean weight for similar boats was changed from 144 lb to 174 lb. Complete parts a) and b) below.

a)assume that a similar boat is loaded with 60 passengers and assume that the weights of the people are normally distributed with a mean of 178.7 lb. and a standard deviation of 38.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 144 lb. 

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