# The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 4 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) 68% of the widget weights lie between andb) What percentage of the widget weights lie between 49 and 65 ounces? %c) What percentage of the widget weights lie below 69 ? %

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 4 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) 68% of the widget weights lie between and

b) What percentage of the widget weights lie between 49 and 65 ounces? %

c) What percentage of the widget weights lie below 69 ? %

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Step 1

Given:

X: Widget weights

Mean = μ = 61

Standard deviation = σ = 4

Empirical rule tells us that within one standard deviation from mean 68% of data lie, within two standard deviations from mean 95% of data lie, and within 3 standard deviations from mean 99.7% of data lie as shown in figure.

Step 2
Step 3

a)68% of the widget.

So, we can say 68% of the data lie...

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