A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 lb, the boat was rated to carry 60 passengers (so the load limit was 8,940 lb). After the boat sank, the assumed mean weight for similar boats was changed from 149 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 people are normally distributed with a mean of 180.4 lb and a standard deviation of 40.2 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 149 lb. The probability is (Round to four decimal places as needed.)
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 lb, the boat was rated to carry 60 passengers (so the load limit was 8,940 lb). After the boat sank, the assumed mean weight for similar boats was changed from 149 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 people are normally distributed with a mean of 180.4 lb and a standard deviation of 40.2 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 149 lb. The probability is (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 lb, the boat was rated to carry
60 passengers (so the load limit was 8,940 lb). After the boat sank, the assumed mean weight for similar boats was
changed from 149 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 people are normally
distributed with a mean of 180.4 lb and a standard deviation of 40.2 lb. Find the probability that the boat is overloaded
because the 60 passengers have a mean weight greater than 149 lb.
The probability is
(Round to four decimal places as needed.)
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