An airliner carries 250 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. C 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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 76 in. The probability is (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? OA. The probability from part (b) is more relevant becauskit shows the proportion of flights where the mean height of the male passengers will be less than the door heigh OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door heigh D. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
19
The probability is
(Round to four decimal places as needed.)
c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?
OA. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
OC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
d. When considering the comfort and safety of passengers, why are women ignored in this case?
OA. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.
OB. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women.
OC. Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it
is important that women not have to bend.
Q Search
")
&
hp
00
O
f10
99+
►II
O
insert
Next
1:01 AM
11/1/2023
←
prt sc
backspace
Transcribed Image Text:The probability is (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? OA. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? OA. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. OB. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. OC. Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend. Q Search ") & hp 00 O f10 99+ ►II O insert Next 1:01 AM 11/1/2023 ← prt sc backspace
An airliner carries 250 passengers and has doors with a height of 76 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.)
b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 76 in.
The probability is
(Round to four decimal places as needed.)
c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?
CRIED
OA. The probability from part (b) is more relevant becauskit shows the proportion of flights where the mean height of the male passengers will be less than the door height.
OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
OC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
d. When considering the comfort and safety of passengers, why are women ignored in this case?
W
Q Search
hp
f10
f
insert
Next
1:00 AM
11/1/2023
prt sc
dele
Transcribed Image Text:An airliner carries 250 passengers and has doors with a height of 76 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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 76 in. The probability is (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? CRIED OA. The probability from part (b) is more relevant becauskit shows the proportion of flights where the mean height of the male passengers will be less than the door height. OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? W Q Search hp f10 f insert Next 1:00 AM 11/1/2023 prt sc dele
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 8 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt