Question

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
distributed with a mean of 179.4 lb and a standard deviation of
36.1 lb. Find the probability that the boat is overloaded because
the 70 passengers have a mean weight greater than 147 lb.

The probability is_____

(Round to four decimal places as needed.)

12. An airliner carries 250 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).

**a.** If a male passenger is randomly selected,
find the probability that he can fit through the doorway without
bending.

The probability is _____

(Round to four decimal places as needed.)

13. 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 40 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,480 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 6,480 lb/40=162 lb.

What is the probability that the aircraft is overloaded?

Should the pilot take any action to correct for an overloaded aircraft?

Assume that weights of men are normally distributed with a mean of 181.9 lb and a standard deviation of 36.9.

Answer #1

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...

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 70 passengers
(so the load limit was 10,220 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 146 lb to
170 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...

A boat capsized and sank in a lake. Based on an assumption of a
mean weight of 150 lb, the boat was rated to carry 50 passengers
(so the load limit was 7 comma 500 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 150 lb to
174 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 141 lb, the boat was rated to carry 50 passengers
(so the load limit was 7 comma 050 lb). After the boat sank, the
assumed mean weight for similar boats was changed from 141 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...

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 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...

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 42 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6,804
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 6,804 /42 equals 162 lb....

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...

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 40 passengers, and a flight has
fuel and baggage that allows for a total passenger load of 6 comma
520 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...

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...

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