For questions 5 – 6, assume that to ride the Whirling Dervish at an amusement park,...

For questions 5 – 6, assume that to ride the Whirling Dervish at an amusement park, riders must be no taller than 75 in. Assume that men have normally distributed heights with a mean of 70 in. and a standard deviation of 2.8 in. 5. Find the percentage of men who will not meet the height requirement. Round to two percentage decimal places (for example, 38.29%). 6. If the height requirement is changed so that only the tallest 5% of men will be excluded from riding the Whirling Dervish due to height restrictions, what is the new height limit? Round to the nearest inch.

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Expert Solution

Assume that to ride the Whirling Dervish at an amusement park, riders must be no taller than 75 in.

Given that, mean = 70 in and

standard deviation = 2.8 in

Q.5) We want to find, the percentage of men who will not meet the height requirement. i.e. P(X > 75 in)

Therefore, the percentage of men who will not meet the height requirement is 3.67%

Q.6) We want to find, the value of x such that, P(X > x) = 0.05

Therefore, new height limit is 75 in

orchestra answered 1 year ago

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