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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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 72 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? O A. 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. O B. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. O C. 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. O D. The probability from part (a) 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? O A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. O B. 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

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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 72 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? O A. 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. O B. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. O C. 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. O D. The probability from part (a) 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? O A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. O B. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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(not pictured answer C. for part d)
 
C.
Since men are generally taller than​ women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.
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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 72 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? O A. 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. B. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. C. 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. D. The probability from part (a) 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? A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. B. 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.
Transcribed Image Text: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.) b. If half of the 250 passengers are men, find the probability that the mean height of the 125 men is less than 72 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? O A. 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. B. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. C. 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. D. The probability from part (a) 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? A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. B. 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.
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