Question

1)The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 47 ounces and a standard deviation of 9 ounces.

Use the Empirical Rule, also known as the 68-95-99.7 Rule. Do not use Tables or Technology to avoid rounding errors.

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

a) 68% of the widget weights lie between  and

b) What percentage of the widget weights lie between 29 and 56 ounces?  %

c) What percentage of the widget weights lie above 20 ?  %

2) Consider the following data set:

45.2	42.1	40.7	51.5	37.2
41.5	48.7	48.6	45.2	43.3
41.7	43	46.1	44.3	45.2
36.1	35.6	43.6	44.3	50.4
50.6	40.7	43.7	42.8	35.3
40.7	38.5	43.2	40.3	43.2

Using the IQR definition of outliers, how many outliers are in this data set?

Find the lower fence
Find the upper fence
Number of outliers =

Answer 1