Math Homework Help! Statistics Standard Deviation

Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 51 ounces and a standard deviation of 11 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions. Be sure to include the z scores and raw data scores underneath the sketch.

a) 99.7% of the widget weights lie between _____and ____

b) What percentage of the widget weights lie between 29 and 84 ounces?  ______%

c) What percentage of the widget weights lie below 62 ?  _______%

Answer 1

between 18 and 84 are 99.7%

between 29 and 84 are 99.7/2 + 95/2 = 49.85+ 47.5 = 97.35%

less than 62 are .5 +.34= .84= 84%