Answer to Question #273485 in Statistics and Probability for Memes

Question

a survey of 1000 women ages 20 to 30 found that their heights were normally distributed, with the mean of 65 inches and a standard deviation of 2.5 inches. how many of the women have a height that is between 60 inches and 70 inches?

Answer 1

Solution

The height from 60 inches to 70 inches lies within 2 standard deviations of the mean.

From the empirical rule, 95% of the data lie within 2 standards deviations of the mean.

Hence, 95% of the women have a height from 60 inches to 70 inches.

That is: $\frac{95}{100}\times1000=950$ women have a height from 60 inches to 70 inches.