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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 147 lb, the boat was rated to carry 60 passengers (so the load limit was 8,820 lb). After the boat sank, the assumed mean weight for similar boats was changed from 147 Ib 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 181.5 lb and a standard deviation of 39.9 lb. Find the probability that the boat is overloaded because the 60 passengers have mean weight greater than 147 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 147 lb, the boat was rated to carry 60 passengers (so the load limit was 8,820 lb). After the boat sank, the assumed mean weight for similar boats was changed from 147 Ib 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 181.5 lb and a standard deviation of 39.9 lb. Find the probability that the boat is overloaded because the 60 passengers have mean weight greater than 147 lb. The probability is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 a mean weight of 147 lb, the boat was rated to carry 60 passengers (so the load limit was 8,820 lb). After the boat sank, the assumed mean weight for similar boats was changed from 147 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 181.5 lb and a standard deviation of 39.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 147 lb. The probability is (Round to four decimal places as needed.) nts orrect: 2 brary Enter your answer in the answer box and then click Check Answer. Check Answer parts remaining Clear All ions OK
Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 147 lb, the boat was rated to carry 60 passengers (so the load limit was 8,820 lb). After the boat sank, the assumed mean weight for similar boats was changed from 147 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 181.5 lb and a standard deviation of 39.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 147 lb. The probability is (Round to four decimal places as needed.) nts orrect: 2 brary Enter your answer in the answer box and then click Check Answer. Check Answer parts remaining Clear All ions OK
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