normal distribuitions and standar

Question

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.64 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 2.53 inches.

a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?



Answer 1

Michel R

Z-Score is a formula that you can look up in your text or on the net.

You also need to convert the height given into inches to the nearest tenth of an inch.

Finally you put everything into the formula.

Please look this up and make sure it’s consistent with your text and or classroom formula

Z = (x - µ)/σ

Where

x = observed value (the man’s height in inches)

μ = mean (the mean above associated with your Normal Distribution)

σ = standard deviation (the standard deviation associated with your Normal Distribution)

Convert the height and plug in the values go for it!