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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. 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 53 and 68 ounces?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. 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 53 and 68 ounces?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between b) What percentage of the widget weights lie between 53 and 68 ounces? c) What percentage of the widget weights lie above 48? and Submit Question H
Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between b) What percentage of the widget weights lie between 53 and 68 ounces? c) What percentage of the widget weights lie above 48? and Submit Question H
Expert Solution
Step 1: Write the given information.

Let X be the widget weight is bell-shaped with a mean of 63 and a standard deviation of 5 ounces.

mu equals 63 space a n d space sigma equals 5

Standard deviation rule:

  • 68% of values lie between one standard deviation from the mean, mu plus-or-minus sigma
  • 95% of values lie between two standard deviations from the mean, mu plus-or-minus 2 sigma
  • 99.7% of values lie between three standard deviations from the mean, mu plus-or-minus 3 sigma.Statistics homework question answer, step 1, image 1


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