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Name: A boat capsized and sank in a lake. Based on an assumption of the mean
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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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