Question

A boat capsized and sank in a lake. Based on an assumption of mean weight of 146146 lb, the boat was rated to carry 5050 passengers (so the load limit was 7 comma 3007,300 lb). After the boat sank, the assumed mean weight for similar boats was changed from146146 lb to170170 lb. Complete parts a and b below.

a. Assume that a similar boat is loaded with 5050 passengers, and assume that the weights of people are normally distributed with a mean of 177.3177.3 lb and a standard deviation of 39.439.4 lb. Find the probability that the boat is overloaded because the 5050 passengers have a mean weight greater than 146146 lb.

The probability is?

b. The boat was later rated to carry only 1515 passengers, and the load limit was changed to 2 comma 5502,550 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170170 (so that their total weight is greater than the maximum capacity of 2 comma 5502,550 lb).

The probability is?

Do the new ratings appear to be safe when the boat is loaded with 1515 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 1515 passengers.

B.Because 177.3177.3 is greater than 170170, the new ratings do not appear to be safe when the boat is loaded with 1515 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 1515 passengers.

Answer #1

A boat capsized and sank in a lake. Based on an assumption of a
mean weight of 146 lb, the boat was rated to carry 50 passengers
(so the load limit was 7 comma 300 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 146 lb to
172 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...

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
70
passengers (so the load limit was
10,010
lb). After the boat sank, the assumed mean weight for similar
boats was changed from
143
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 normally
distributed...

11. A boat capsized and sank in a lake. Based on an assumption
of a mean weight of 147 lb, the boat was rated to carry 70
passengers (so the load limit was 10,290 lb). After the boat
sank, the assumed mean weight for similar boats was changed from
147 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 normally...

1. The weights of a certain brand of candies are normally
distributed with a mean weight of 0.8542 g and a standard deviation
of 0.0521 g. A sample of these candies came from a package
containing 454 candies, and the package label stated that the net
weight is 387.3 g. (If every package has 454 candies, the mean
weight of the candies must exceed 387.3 Over 454= 0.8531
g for the net contents to weigh at least 387.3 g.) a. If...

An elevator has a placard stating that the maximum capacity is
1392 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1392 divided by 8 equals 174 pounds. If the
elevator is loaded with 8 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 174 lb. (Assume that weights of males are normally
distributed with a mean of 178 lb and a standard deviation...

Before every flight, the pilot must verify that the total
weight of the load is less than the maximum allowable load for the
aircraft. The aircraft can carry 38 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6 comma
080 lb. The pilot sees that the plane is full and all passengers
are men. The aircraft will be overloaded if the mean weight of the
passengers is greater than StartFraction 6 comma...

An elevator has a placard stating that the maximum capacity is
1376 —8 passengers.
So, 8 adult male passengers can have a mean weight of up to
1376/8=172 lb.
If the elevator is loaded with 8 adult male passengers, find
the probability that it is overloaded because they have a mean
weight greater than 172 lbs.
(Assume that weights of males are normally distributed with a
mean of 174 lb and a standard deviation of 28 lb.)
Does this elevator...

An elevator has a placard stating that the maximum capacity is
1200 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1200 divided by 8 equals 150 pounds. If the
elevator is loaded with 8 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 150 lb. (Assume that weights of males are normally
distributed with a mean of 160 lb and a standard deviation...

An elevator has a placard stating that the maximum capacity is
1280 lblong dash8 passengers. So, 8 adult male passengers can have
a mean weight of up to 1280 divided by 8 equals 160 pounds. If the
elevator is loaded with 8 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 160 lb. (Assume that weights of males are normally
distributed with a mean of 162 lb and a standard deviation...

An elevator has a placard stating that the maximum capacity
is
1240 lb —88 passengers. So,
88 adult male passengers can have a mean weight of up to
1240 divided by 8 equals 155 pounds.1240/8=155 pounds.
If the elevator is loaded with
88
adult male passengers, find the probability that it is
overloaded because they have a mean weight greater than
155
lb. (Assume that weights of males are normally distributed with
a mean of
164 lb164 lb
and a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 seconds ago

asked 44 seconds ago

asked 13 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago