Find the area of the shaded region. The graph depicts the standard normal distri

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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1 Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1 MEGAN MALDONADO 3/17/18 8:16 PM STA2023 STATISTICS ONLINEPATRICIA BERCHIOLLI 588686 Homework: Section 6-3 HW score: 0 of 1 pt 86.3.23-T Save 10 of 13 (10 complete) HW Score: 69 23%, 9 of 13 pts E Question Help A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 68.9 in. and standard deviation 2.9. Complete parts a through c below a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement The percentage of women who meet the height requirement is 9957% (Round to two decimal places as needed.) b. Find the percentage of men meeting the height requirement The percentage of men who meet the height requirement is 99.28% Round to two decimal places as needed.) c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% o women, what are the new height requiements? The new height requirements are at least 2 in and at most in. Round to one decimal place as needed) L I Enter your answer in the edit fields and then click Check Answer All parts showing Clear All Check Answer

Explanation / Answer

Result:

a). 99.57%

b). 99.28%

c),

z value for bottom and top 5% are (-1.645 and 1.645).

lower limit for shortest 5% for women = 63.3-1.645*2.4 = 59.352

upper limit for tallest 5 % for men = 68.9-1.645*2.9 = 64.1295

The new height requirement are at least 59.4 in and at most 64.1 in.

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