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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 lb). After the boat sank, the assumed mean weight for similar boats wa changed from 137 lb to 172 Ib. 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 176.3 lb and a standard deviation of 35.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 Ib. The probability is O (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,752 lb. Find the probability that the boat weight is greater than the maximum capacity of 2,752 Ib). overloaded because the mean weight of the passengers is greater than 172 (so that their total The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 16 passengers? Choose the correct answer below. O A. Because 176.3 is greater than 172, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O B. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. OC. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 16 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 lb). After the boat sank, the assumed mean weight for similar boats wa changed from 137 lb to 172 Ib. 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 176.3 lb and a standard deviation of 35.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 Ib. The probability is O (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,752 lb. Find the probability that the boat weight is greater than the maximum capacity of 2,752 Ib). overloaded because the mean weight of the passengers is greater than 172 (so that their total The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 16 passengers? Choose the correct answer below. O A. Because 176.3 is greater than 172, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O B. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. OC. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 16 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.

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 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 172 Ib. 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 176.3 lb and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 Ib. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,752 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 172 (so that their total weight is greater than the maximum capacity of 2,752 lb). The probability is N (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 16 passengers? Choose the correct answer below. O A. Because 176.3 is greater than 172, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O B. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 16 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.
Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 172 Ib. 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 176.3 lb and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 Ib. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,752 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 172 (so that their total weight is greater than the maximum capacity of 2,752 lb). The probability is N (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 16 passengers? Choose the correct answer below. O A. Because 176.3 is greater than 172, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O B. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 16 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 16 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.
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