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 8 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 53 and 69 b) What percentage of the widget weights lie between 37 and 69 ounces? 97.5 % c) What percentage of the widget weights lie below 77 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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 8 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
53
and
69
b) What percentage of the widget weights lie between 37
and 69 ounces?
97.5
%
c) What percentage of the widget weights lie below 77 ?
Transcribed Image Text: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 8 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 53 and 69 b) What percentage of the widget weights lie between 37 and 69 ounces? 97.5 % c) What percentage of the widget weights lie below 77 ?
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