The average playing time of music albums in a large collection is 34 minutes, and the standard deviation is 3 minutes. (a) What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? 1 standard deviation above the mean 1 standard deviation below the mean 2 standard deviations above the mean 2 standard deviations below the mean (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 28 and 40 minutes? (Round the answer to the nearest whole number.) At least % (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 25 minutes or greater than 43 minutes? (Round the answer to the nearest whole number.) No more than %

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 average playing time of music albums in a large collection is 34 minutes, and the standard deviation is 3 minutes.
(a) What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
1 standard deviation above the mean
1 standard deviation below the mean
2 standard deviations above the mean
2 standard deviations below the mean
(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 28 and 40 minutes? (Round the answer to the nearest whole number.)
At least
%
(c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 25 minutes or greater than 43 minutes? (Round the answer
to the nearest whole number.)
No more than
%
(d) Assuming that the distribution of times is approximately normal, about what percentage of times are between 28 and 40 minutes? (Round the answers to two decimal places, if needed.)
%
Less than 25 min or greater than 43 min?
%
Less than 25 min?
%
Transcribed Image Text:The average playing time of music albums in a large collection is 34 minutes, and the standard deviation is 3 minutes. (a) What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? 1 standard deviation above the mean 1 standard deviation below the mean 2 standard deviations above the mean 2 standard deviations below the mean (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 28 and 40 minutes? (Round the answer to the nearest whole number.) At least % (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 25 minutes or greater than 43 minutes? (Round the answer to the nearest whole number.) No more than % (d) Assuming that the distribution of times is approximately normal, about what percentage of times are between 28 and 40 minutes? (Round the answers to two decimal places, if needed.) % Less than 25 min or greater than 43 min? % Less than 25 min? %
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