Men have heights that are normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Due to aircraft cabin designs and other considerations, British Airways and many other carriers have a cabin crew height requirement of between 5’2” and 6’1”. According to this, what percentage of men are too tall to qualify for a cabin crew position?
A. 92.8% B. 12.1%
C. 7.2% D. None of the above are remotely close.
Solution :
Given that ,
mean = = 69.5
standard deviation = = 2.4
P ( 62 < x < 73 ) = P[(62 -69.5) / 2.4 ) < (x - ) / < (73 - 69.5) / 2.4) ]
= P( -3.125 < z < 1.4583 )
= P(z < 1.4583) - P(z < -3.125)
Using z table,
= 0.9276 - 0.0009
= 0.9267
D. None of the above are remotely close..
Men have heights that are normally distributed with a mean of 69.5 inches and a standard...
The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.68 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) What percentage of men are SHORTER than 6 feet 3 inches?...
The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.51 inches. If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? z = If a woman is 5 feet 11 inches tall, what is her z-score...
The heights of men are normal distributed, with a mean of 69.4 inches and a standard deviation of 2.69 inches. The heights of adult women are also normal distrubuted, but with a mean of 64.7 inches and a standard deviation of 2.51 inches. -if a man is 6 feet 3 inches tall, what is his z-score ? (Two decimal places) -if a woman is 5 feet 11 inches tall, what is her z-score? (Two decimal places) The heights of adult...
Men's heights are normally distributed with mean 69.5 in and standard deviation 2.4 in. based on this information, what doorway height for a private jet would allow 80% of men to fit without bending?
Assume men's heights are normally distributed with mean 69.5 in. and standard deviation 2.4 in. If you randomly selected a man whats the probability that his height would be A. Over 6 feet B. Between 5'9 and 6'4 C. Less than 2 standard deviations above the mean D.What is height that separates the tallest 10% of men from the rest of men? What do we call this value? E. If 25 men were randomly selected what is the probability that...
Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. What is the probability that a randomly selected group of 16 men have a mean height greater than 71 inches.
The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) If a woman is 5 feet 11 inches tall, what is her z-score...
The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.52 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is...
Assume that the heights of men are normally distributed with a mean of 69.4 inches and a standard deviation of 1.3 inches. If the top 5 percent and bottom 5 percent are excluded for an experiment, how many inches tall is the tallest man allowed to be eligible for this experiment? Round your answer to one decimal place.
The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.59 inches. a. If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? (to 4 decimal places)? b. If a woman is 5 feet 11 inches tall,...