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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 70 passengers (so the load limit was 10,430 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 149 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.7 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 149 Ib. The probability is N (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 70 passengers (so the load limit was 10,430 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 149 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.7 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 149 Ib. The probability is N (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 149 Ib, the boat was rated to carry 70 passengers (so the load limit was 10,430 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 149 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.7 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 149 lb. The probability is (Round to four decimal places as needed.)
Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 Ib, the boat was rated to carry 70 passengers (so the load limit was 10,430 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 149 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.7 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 149 lb. The probability is (Round to four decimal places as needed.)
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