Homework Soursea survey found that womens heights are normally distributed
a survey found that women\'s heights are normally distributed with mean of 62.7 inches and standard deviation of 2.6 inches. the survey also found that men\'s heights are normally distributed with a mean of 67.1 and standard deviation of 2.9. complete parts a-c below:
A). Most of the live characters @ an amusement park have height requirements with a minimum of 4 ft 8 inches and a maximum of 6 ft 3 inches. Find the % of women meeting the height requirement - round 2 dp.
B). Find the % of men meeting the height requirement - round 2 dp.
C). If the height requirements are changed to exclude only the tallest 5% of men and shortest 5% of women....what are the new height requirements? The new height requirements are at least ?? inches and at most ?? inches. (Round 1 dp)
a survey found that women\'s heights are normally distributed with mean of 62.7 inches and standard deviation of 2.6 inches. the survey also found that men\'s heights are normally distributed with a mean of 67.1 and standard deviation of 2.9. complete parts a-c below:
A). Most of the live characters @ an amusement park have height requirements with a minimum of 4 ft 8 inches and a maximum of 6 ft 3 inches. Find the % of women meeting the height requirement - round 2 dp.
B). Find the % of men meeting the height requirement - round 2 dp.
C). If the height requirements are changed to exclude only the tallest 5% of men and shortest 5% of women....what are the new height requirements? The new height requirements are at least ?? inches and at most ?? inches. (Round 1 dp)
a survey found that women\'s heights are normally distributed with mean of 62.7 inches and standard deviation of 2.6 inches. the survey also found that men\'s heights are normally distributed with a mean of 67.1 and standard deviation of 2.9. complete parts a-c below:
A). Most of the live characters @ an amusement park have height requirements with a minimum of 4 ft 8 inches and a maximum of 6 ft 3 inches. Find the % of women meeting the height requirement - round 2 dp.
B). Find the % of men meeting the height requirement - round 2 dp.
C). If the height requirements are changed to exclude only the tallest 5% of men and shortest 5% of women....what are the new height requirements? The new height requirements are at least ?? inches and at most ?? inches. (Round 1 dp)
Solution
A) WOMEN MEAN HEIGHT = 62.7
STD DEVIATION = 2.6
SO THE RANGE OF HEIGHT WILL BE 62.7 - 2.6 = 60.1 TO 62.7 + 2.6 = 65.3
MINIMUM REQUIRED HEIGHT IS 4 FT 8 INCHES = 46 INCHES
ACCORDING TO THE SAMPLE MINIMUM HEIGHT OF WOMEN IS = 60.1 INCHES
THEREFORE 100% OF THE WOMEN ARE MEETING THE HEIGHT REQUIREMENT.
B) MEN HEIGHT RANGE WILL BE 67.1-2.9 TO 67.1+2.9 = 64.2 TO 70 INCHES
ACCORDING TO THE HEIGHT REQUIREMENT 100% OF MEN CAN GO
C) HIGHEST HEIGHT IS 6FT 3 INCHES = 75 INCHES
5% OF WHICH WILL BE 3.75 INCHES
75 - 3.75 = 71.25
SHORTES HEIGHT IS 4FT 8 INCHES = 56 INCHES
5% OF WHICH WILL BE 2.8 INCHES
56-2.8= 53.2 INCHES
RANGE WILL 53.2 TO 71.25
