This Question: 1 pt 18 of 21 (14 An airtiner cames 50 passengers and has doors w

Question

This Question: 1 pt 18 of 21 (14 An airtiner cames 50 passengers and has doors with a height of 70 in Heights of men are nomalily distibuted weith a mean of 69 0 in and a a. If a male passenger is randomly selected, find the probablity The probability is standard deviation of 2 8 in Complete parts (a) through( c that he can fit theough the doorway without bending b. It half of the 50 passengers are men, ind the probability that the mean height of the 25 men is less than 70n The probablity is Round to four decimal places as needed) c. When considering the comfort and safety of passengers, which result is more resevant the probability tom part (a) or the protability trom part (b? why o A. The probatity from part (as more relevant because it shows the proportion of male sengers that vet not need to bend O B. The probability trom part (b) is more relevant because O C. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend ? D The probati y trom part ca) is more relevant because t stows me proportion of fights whee nemur hort om em e ming r s w l be iesian the door n ght d. When considering the comfort and safety of passengers, why are women ignored in this case? t shows the proportion of flights where the mean height of the male passengers wt be less than the door height ? A. Snce men are genera y taler than wonnen. a design that accommodates unable mainom men mesiatn, scammedse , ream, nortenamme. O B. There is ne adequate reason to ignore women A separate statistical analysis should be carried out for the case of women Therefe e.ismo e risort that men not have to be drar,?iptathat wonen not have to bend ? nce men are generally taller than wonen itismreomat for them to bend when enteri ghe arca O Type here to search

Explanation / Answer

a) z = (X-Mean)/SD
z = (70-69)/2.8 = + 0.3571
The area under the standard normal curve left to the z value indicates the required probability.
Required probability = P(X < 70) = P(z < 0.3571)
= 0.6406

b) z = (X-Mean) / (SD/sqrt n)
z = (70-69) / (2.8/sqrt (25)) = 1.7857
Required probability = P(Xbar<70)
= P(z < 1.7857)
= 0.9633

(c)  The probability from part (a) is more relevant because it shows the proportion of male passengers that will not bend

(d)  Since men are generally taller than woman ,a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of woman

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.