The average playing time of compact discs in a large collection is 36 minutes, and the standard deviation is 7 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? 43 1 standard deviation above the mean 1 standard deviation below the mean 29 2 standard deviations above the mean 2 standard deviations below the mean 50 22 (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 22 and 50 minutes? (Round the answer to the nearest whole number.) At least 75 (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 15 minutes or greater than 57 minutes? (Round the answer to the nearest

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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The average playing time of compact discs in a large collection is 36 minutes, and the standard deviation is 7 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
43
1 standard deviation below the mean
29
2 standard deviations above the mean
50
2 standard deviations below the mean
22
(b) Without assuming anything about the distribution of times, at least what percentage of the times are between 22 and 50 minutes? (Round the answer to the nearest whole number.)
At least 75
%
(c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 15 minutes or greater than 57 minutes? (Round the answer to the nearest whole number.)
No more than 11
%
(d) Assuming that the distribution of times is normal, about what percentage of times are between 22 and 50 minutes? (Round the answers to two decimal places, if needed.)
95.45
%
Less than 15 min or greater than 57 min?
0.27
%
Less than 15 min?
0.13
%
Transcribed Image Text:The average playing time of compact discs in a large collection is 36 minutes, and the standard deviation is 7 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 43 1 standard deviation below the mean 29 2 standard deviations above the mean 50 2 standard deviations below the mean 22 (b) Without assuming anything about the distribution of times, at least what percentage of the times are between 22 and 50 minutes? (Round the answer to the nearest whole number.) At least 75 % (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 15 minutes or greater than 57 minutes? (Round the answer to the nearest whole number.) No more than 11 % (d) Assuming that the distribution of times is normal, about what percentage of times are between 22 and 50 minutes? (Round the answers to two decimal places, if needed.) 95.45 % Less than 15 min or greater than 57 min? 0.27 % Less than 15 min? 0.13 %
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