1 points POOStat5 4.E.038 The average playing time of compact discs in a large c

Question

1 points POOStat5 4.E.038 The average playing time of compact discs in a large collection is 34 minutes, and the standard deviation is 5 minutes My Notes Ask Your (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 24 and 44 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 19 minutes or greater than 49 minutes? (Round the answer to the nearest whole number.) No more than (d) Assuming that the distribution of times is normal, about what percentage of times are between 24 and 44 minutes? (Round the answers to two decimal places, if needed.) 1% Less than 19 min or greater than 49 min? Less than 19 min?

Explanation / Answer

a) 1 std deviation above mean =34+5 =39

1 std deviation below mean =34-5 =29

2 std deviation above mean =34+2*5 =44

1 std deviation below mean =34-2*5 =24

b)as 24 and 44 are 2 std deviation from mean ; from Chebychev;

at least 75%

c)as 19 and 49 are 3 std deviation from mean ; from Chebychev;

at least 11.11%

d)

between 24 and 44 minutes -- 95.45%

less than 19 min or greater than 49 min --- 0.27%

less than 19 min --- 0.13%

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