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

A boat capsized and sank in a lake. Based on an assumption of a mean weight of146lb, the boat was rated to carry 50 passengers (so the load limit was 7,300lb). After the boat sank, the assumed mean weight for similar boats was changed from 146lb to170lb. Complete parts a and b below.

A) 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 177.3lb and a standard deviation of 39.4lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 146lb. The probability is

B) b. The boat was later rated to carry only 15 passengers, and the load limit was changed to 2,550 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170(so that their total weight is greater than the maximum capacity of 2,550 lb). The probability is

Do the new ratings appear to be safe when the boat is loaded with 15 passengers? Choose the correct answer below.

A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 15 passengers.

B.Because 177.3 is greater than170 the new ratings do not appear to be safe when the boat is loaded with 15 passengers.

C.Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.

D.Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 15 passengers.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130 lb, the boat was rated to carry 70 passengers (so the load limit was 9 comma 100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130 lb to 174 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...

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

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 130130 lb, the boat was rated to carry 7070 passengers (so the load limit was 9 comma 1009,100 lb). After the boat sank, the assumed mean weight for similar boats was changed from 130130 lb to 172172 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 7070 passengers, and assume that the weights of people are...

1.) A boat capsized and sank in a lake. Based on an assumption of a mean...

1.) A boat capsized and sank in a lake. Based on an assumption of a mean weight of 148 lb, the boat was rated to carry 60 passengers (so the load limit was 8 comma 880 lb). After the boat sank, the assumed mean weight for similar boats was changed from 148 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...

People have died in boat accidents because an obsolete estimate of the mean weight of men...

People have died in boat accidents because an obsolete estimate of the mean weight of men was used. Using the weights of the simple random sample of men from Data Set 1 in Appendix B, we obtain these sample statistics: n = 40 and ?̅ = 172.55 lb. Research from several other sources suggests that the population of weights of men has a standard deviation given by  = 26 lb. Use these results to test the claim that men...

The weight of fish in Lake Paradise follows a normal distribution with mean of 7.6 lbs...

The weight of fish in Lake Paradise follows a normal distribution with mean of 7.6 lbs and standard deviation of 2 lbs. a. What proportion of fish are between 9 lbs and 12 lbs? Give your answer to 3 decimal places. b. Alex boasts that he once caught a fish that was just big enough to be in the top 3.5% of of the fish population. How much did his fish weigh? Give your answer to 2 decimal places. (lbs)...

A radio controlled model boat is placed in a lake at the point O with initial...

A radio controlled model boat is placed in a lake at the point O with initial velocity 0.6j ms^-1 and its velocity after 15 seconds was measured as (10.5i -0.9j) ms^-1. The acceleration of the boat is modelled as being constant. Find an expression for the position of the boat at time t. For what value of t was the boat north-East of O. For what value of t was the boat travelling in the direction north-east? The boat lost...

Lake Vostok is Antarctica's largest and deepest subsurface lake. The mean depth of the lake is...

Lake Vostok is Antarctica's largest and deepest subsurface lake. The mean depth of the lake is believed to be 344 meters. 25 random samples of the depth of this lake were obtained. Assume the underlying distribution is normal and σ = 30 meters. Please use 3 decimal places in all calculations. b) Find the probability of the Type II error if the true mean depth of the lake is Pa = 328 meters; that is, find B(328). Assume that a...

A fisherman is in a row boat on a lake 2 miles form shore when he...

A fisherman is in a row boat on a lake 2 miles form shore when he catches a huge fish. He wants to show the fish to his buddies in a tavern 3 miles down the straight shore. He can row 5 miles an hour and run 13 miles per hour. To what point on the shore should he row to get to the tavern as quickly as possible?

Based on the Earth’s mean surface pressure, calculate the weight of the atmosphere in kg to...

Based on the Earth’s mean surface pressure, calculate the weight of the atmosphere in kg to 1 significant figure. Show your work.

Assumption: The company has weight of debt WD = 60%, cost of debt RD = 14%,...

Assumption: The company has weight of debt WD = 60%, cost of debt RD = 14%, for unleveraged firm: Bu =1; the company has Tax Rate=35%, risk-free rate Rf = 5%, Market Return = 11%, free cash flow FCF0 = 250 million, growth rate g =3%. Use the following formula for beta of leveraged company: B = Bu [1+ (1-T) × (Wd /Ws)], What is the WACC and what is the value of the firm? Please show work

Subjects