Answered: The Acme Company manufactures widgets.…

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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Question

1. The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 46 ounces and a standard deviation of 11 ounces. Using the Empirical Rule, answer the following questions.

Suggestion: Sketch the distribution.

a) 99.7% of the widget weights lie between and

b) What percentage of the widget weights lie between 35 and 79 ounces? %

c) What percentage of the widget weights lie below 68? %

2. A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 35 months and a standard deviation of 11 months. Using the 68-95-99.7 (Empirical) Rule, what is the approximate percentage of cars that remain in service between 13 and 24 months?

The approximate percentage of cars that remain in service between 13 and 24 months is %. Do not enter the percent symbol.)

3. The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 35 and a standard deviation of 10. Using the 68-95-99.7 (Empirical) Rule, what is the approximate percentage of lightbulb replacement requests numbering between 5 and 35?

The approximate percentage of lightbulb replacement requests numbering between 5 and 35 is %.

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