9 points PODStat5 4.E.038 My Notes Ask Your Teacher The average playing time of

Question

9 points PODStat5 4.E.038 My Notes Ask Your Teacher The average playing time of compact discs in a large collection is 37 minutes, and the tandard 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 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 23 and 51 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 16 minutes or greater than 58 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 23 and 51 minutes? (Round the answers to two decimal places, if needed.) Less than 16 min or greater than 58 min? 1% Less than 16 min? Submit Answer Save Progress My Notes Ask Your Teacher 8. -12 points PODStat5 4 E.039 1:39 PM ds)2/12/2013 O Type here to search

Explanation / Answer

Solutiona:

1 sd above mean=mean+sd=37+7=44

1sd below mean=mena-sd=37-7=30

2 sd above mean=mean+2sd=37+2*7=37+14=51

2 sd below mean=mean-2sd=37-2*7=23

Solutionb:

By empirical rule std dev abovel rule

above 95% of the data values fall within 2 standard deviations of the mean

ANSWER:95%

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