The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 8 ounces. Use the Empirical Rule. 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 44 and 76 ounces? c) What percentage of the widget weights lie above 36 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Acme Company manufactures widgets. The
distribution of widget weights is bell-shaped. The
widget weights have a mean of 52 ounces and a
standard deviation of 8 ounces.
Use the Empirical Rule.
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 44 and 76 ounces?
%
c) What percentage of the widget weights lie
above 36 ?
%
Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 52 ounces and a standard deviation of 8 ounces. Use the Empirical Rule. 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 44 and 76 ounces? % c) What percentage of the widget weights lie above 36 ? %
Expert Solution
Step 1

Given that 

μ=52 , ?= 8

X~Normal(μ=52 , ?= 8)

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