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In: Statistics and Probability

The average playing time of compact discs in a large collection is 37 minutes, and the...

The average playing time of compact discs in a large collection is 37 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 44
1 standard deviation below the mean 30
2 standard deviations above the mean 51
2 standard deviations below the mean     23

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? % Less than 16 min?

Solutions

Expert Solution

complete answer for c and d part.

orchestra answered 2 years ago
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