The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 58 ounces and a standard deviation of 6 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 52 and 76 ounces? c) What percentage of the widget weights lie above 46 ?

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 58 ounces and a standard deviation of 6 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 52 and 76 ounces?
%
c) What percentage of the widget weights lie above 46 ?
34%
34%
2.35%,
13.5%
13.5% 2.35%
0.15%
„0.15%
-3s
-2s
-1s
1s
3s
Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 58 ounces and a standard deviation of 6 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 52 and 76 ounces? % c) What percentage of the widget weights lie above 46 ? 34% 34% 2.35%, 13.5% 13.5% 2.35% 0.15% „0.15% -3s -2s -1s 1s 3s
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