The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. 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 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? % %

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget
weights have a mean of 60 ounces and a standard deviation of 3 ounces.
Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use
normalcdf on your calculator.
Suggestion: sketch the distribution in order to answer these questions.
a) 99.7% of the widget weights lie between
b) What percentage of the widget weights lie between 57 and 69 ounces?
c) What percentage of the widget weights lie above 54 ?
0.15%
-3s
2.35%
-25
13.5%
-1s
34% 34%
1s
13.5%
2s
2.35%
3s
and
0.15%
%
%
Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %
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