Question

PLEASE MAKE SURE TO ANSWER ALL 3 QUESTIONS!!!

1. The overhead reach distances of adult females are normally distributed with a mean of

205 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 217cm .502 cm 17.50 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 203.50 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

a. The probability is ..... (Round to four decimal places as needed.)

2. An elevator has a placard stating that the maximum capacity is

1328 lb long—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1328/8=166 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

166 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 34 lb.)

Does this elevator appear to be safe?

The probability the elevator is overloaded is.... (Round to four decimal places as needed.)

3. An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between

130 lb and 171 lb. The new population of pilots has normally distributed weights with a mean of 135 lb

and a standard deviation of 30.1 lb a. If a pilot is randomly selected, find the probability that his weight is between 130

lb and 171 lb.The probability is approximately .... (Round to four decimal places as needed.)

Answer #1

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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
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...

an elevator has a placard stating that the maximum
capacity is 1944 lbs- 12 passengers. So, 12 adult male passengers
can have a mean weight of up to 1944/12 =162 pounds. If the
elevator is loaded with 12 adult male passengers, find the
probability that it is overloaded because they have a mean weight
greater than 162 lbs. (Assume that weights are normally distributed
with a mean of 166 lb and a standard deviation of 33 lb.) Does the
elevator...

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...

An elevator has a placard stating that the maximum capacity is
2475 lb —15 passengers. So, 15 adult male passengers can have a
mean weight of up to 2475/15=165 pounds. If the elevator is loaded
with 15 adult male passengers, find the probability that it is
overloaded because they have a mean weight greater than 165 lb.
(Assume that weights of males are normally distributed with a mean
of 167 lb and a standard deviation of 35 lb.) Does this...

3. The overhead reach distances of adult females are normally
distributed with a mean of 200 cm and a standard deviation of 8
cm.
a. Find the probability that an individual
distance is greater than 209.30 cm.
b. Find the probability that the mean for 25
randomly selected distances is greater than 197.80 cm.197.80
cm.
c. Why can the normal distribution be used in
part (b), even though the sample size does not exceed 30?
4. Assume that women's heights...

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...

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...

18The overhead reach distances of adult females are normally
distributed with a mean of 200 cm and a standard deviation of 8.9
cm.
a. Find the probability that an individual distance is greater
than 210.00 cm. (Round to four decimal places as needed.)
b. Find the probability that the mean for 20 randomly selected
distances is greater than 197.80 cm. Round to four decimal places
as needed.)
c. Why can the normal distribution be used in part (b), even
though...

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