Question

# 1) The average playing time of compact discs in a large collection is 32 min, and...

1) The average playing time of compact discs in a large collection is 32 min, and the standard deviation is 4 min.

(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 deviation above the mean 2 standard deviation below the mean

2) The standard deviation alone does not measure relative variation. For example, a standard deviation of \$1 would be considered large if it is describing the variability from store to store in the price of an ice cube tray. On the other hand, a standard deviation of \$1 would be considered small if it is describing store-to-store variability in the price of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is defined by the formula CV = 100(s/ x ). Consider two samples. Sample 1 gives the actual weight (in ounces) of the contents of cans of pet food labeled as having a net weight of 8 oz. Sample 2 gives the actual weight (in pounds) of the contents of bags of dry pet food labeled as having a net weight of 50 lb. There are weights for the two samples.

 Sample 1 8.7 7.6 7.5 8.8 7.5 8.7 8.3 7.2 7.2 7.5 Sample 2 52.3 50.2 51.7 52.1 50.6 47 50.4 50.3 48.7 48.2

a)

 For sample 2 Mean Standard deviation

(b) Compute the coefficient of variation for each sample. (Round all answers to two decimal places.)

 CV1 CV2 Dear student,
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