1. The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.63 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)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = c) Who is relatively taller? The 5 foot 11 inch American woman The 6 foot 3 inch American man 2. A manufacturer knows that their items have a normally distributed length, with a mean of 12.5 inches, and standard deviation of 1.4 inches. If one item is chosen at random, what is the probability that it is less than 11.2 inches long?
1. The heights of adult men in America are
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 her z-score (to two decimal places)?
z =
c) Who is relatively taller?
The 5 foot 11 inch American woman
The 6 foot 3 inch American man
2. A manufacturer knows that their items have a normally distributed length, with a mean of 12.5 inches, and standard deviation of 1.4 inches.
If one item is chosen at random, what is the
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