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 180.7 lb and a standard deviation of 36.5 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 138 lb. The probability is. (Round to foriecimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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13 ( A )
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 138 lb, the boat was
rated to carry 60 passengers (so the load limit was 8,280 lb). After the boat sank, the assumed mean
weight for similar boats was changed from 138 lb to 173 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 180.7 lb and a standard deviation of 36.5 lb. Find the
probability that the boat is overloaded because the 60 passengers have a mean weight greater than
138 lb.
The probability is.
(Round to folecimal places as needed.)
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Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 138 lb, the boat was rated to carry 60 passengers (so the load limit was 8,280 lb). After the boat sank, the assumed mean weight for similar boats was changed from 138 lb to 173 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 180.7 lb and a standard deviation of 36.5 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 138 lb. The probability is. (Round to folecimal places as needed.) Get More Help - Clear All Check Answer * Previous Next Roster D-Matic waluation stv Aa DII DD F8 F9 F10 F11 F12 ) + 8 9. %3D delete
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