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5. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 50 passengers (so the load limit was 7,150 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.9 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 143 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,422 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 2,422 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 14 passengers? Choose the correct answer below. OA. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. OB. Because 182.7 is greater than 173, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. 4 OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 14 passengers.

5. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 50 passengers (so the load limit was 7,150 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 173 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.9 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 143 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,422 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 2,422 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 14 passengers? Choose the correct answer below. OA. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. OB. Because 182.7 is greater than 173, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. 4 OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 14 passengers.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 50 passengers (so the load limit was 7,150 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 173 lb, Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.9 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 143 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,422 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 2,422 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 14 passengers? Choose the correct answer below. O A. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. O B. Because 182.7 is greater than 173, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 14 passengers.
Transcribed Image Text:5. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 143 lb, the boat was rated to carry 50 passengers (so the load limit was 7,150 lb). After the boat sank, the assumed mean weight for similar boats was changed from 143 lb to 173 lb, Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 182.7 lb and a standard deviation of 37.9 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 143 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,422 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 173 (so that their total weight is greater than the maximum capacity of 2,422 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 14 passengers? Choose the correct answer below. O A. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. O B. Because 182.7 is greater than 173, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. OC. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 14 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 14 passengers.
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