A vehicle is designed to fit adults of a specific size range.
The heights of adult women in the United States are approximately normally distributed with a mean of
(b) 64.78
inches and a standard deviation of (c),
2.57
inches.
8. Label the normal curve to 3 standard deviations in each direction to reflect this distribution of heights.
(3 pt)
9.
According to the Empirical Rule (68-95-99.7 Rule), if a vehicle only accommodates people who are between
57.07 and 72.49
inches tall, what percentage of adult women in the United States
(d).
will fit?
(2 pt)
10.
According to the Empirical Rule (68-95-99.7 Rule), what heights would the vehicle have to accommodate in
order to fit the middle 68% of adult women in the United States? State the lowest and highest heights. (4 pt)
11.
What percentage of adult women in the United States have a height of less than (e).
64.78
inches?
(2 pt)