A boat capsized and sank in a lake Based on an assumption of

Last updated: 10/23/2023

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 60 passengers so the load limit was 8 940 lb After the boat sank the assumed mean weight for similar boats was changed from 149 lb to 171 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 179 8 lb anc a standard deviation of 39 1 lb Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 149 lb The probability is 1 Round to four decimal places as needed b The boat was later rated to carry only 13 passengers and the load limit was changed to 2 223 lb Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 so that their total weight is greater than the maximum capacity of 2 223 lb The probability is 0 7915 Round to four decimal places as needed Do the new ratings appear to be safe when the boat is loaded with 13 passengers Choose the correct answer below OA Because there is a high probability of overloading the new ratings do not appear to be safe when the boat is loaded with 13 passengers O B Because the probability of overloading is lower with the new ratings than with the old ratings the new ratings appear to be safe C Because there is a high probability of overloading the new ratings appear to be safe when the boat is loaded with 13 passengers D Because 179 8 is greater than 171 the new ratings do not appear to be safe when the boat is loaded with 13 passengers