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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 132 lb, the boat was rated to carry 60 passengers (so the load limit was 7,920 lb). After the boat sank, the assumed mean weight for similar boats was changed from 132 lb to 170 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 176.7 lb and a standard deviation of 37.5 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 132 Ib. 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 132 lb, the boat was rated to carry 60 passengers (so the load limit was 7,920 lb). After the boat sank, the assumed mean weight for similar boats was changed from 132 lb to 170 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 176.7 lb and a standard deviation of 37.5 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 132 Ib. 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
Section10.3: Measures Of Spread
Problem 1GP
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6.4.18-1 Question Help v A boat capsized and sank in a lake. Based on an assumption of a mean weight of 132 Ib, the boat was rated to carry 60 passengers (so the load limit was 7,920 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 132 Ib to 170 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 176.7 Ib and a standard deviation of 37.5 Ib. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 132 Ib. The probability is. (Round to four decimal places as needed.)
Transcribed Image Text:6.4.18-1 Question Help v A boat capsized and sank in a lake. Based on an assumption of a mean weight of 132 Ib, the boat was rated to carry 60 passengers (so the load limit was 7,920 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 132 Ib to 170 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 176.7 Ib and a standard deviation of 37.5 Ib. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 132 Ib. The probability is. (Round to four decimal places as needed.)
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