College Statistics

Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 7 ounces.

Use the 68-95-99.7 rule (also known as the Empirical Rule).

Suggestion: sketch the distribution in order to answer these questions.

a) 99.7% of the widget weights lie between  and 

b) What percentage of the widget weights lie between 38 and 73 ounces?  %

c) What percentage of the widget weights lie below 59 ?  %

Answer 1

3x7 =21

52-21 = 31

52+21 = 73

99.7% lie between 31 and 73, within 3 standard deviations from the mean

59 is one standard deviation above the mean. add 68/2 + 50 = 84% lie below 59