The average playing time of music albums in a large collection is 36 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 30 and 42 minutes? (Round the answer to the nearest whole number.) At least 75 % 39 33 42 30 (c) Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 27 minutes or greater than 45 minutes? (Round the answer to the nearest whole number.) No more than 11 % (d) Assuming that the distribution of times is approximately normal, about what percentage of times are between 30 and 42 minutes? (Round the answers to two decimal places, if needed.) % Less than 27 min or greater than 45 min? % Less than 27 min? %

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