The mean playing time for a large collection of compact discs is37 minutes, and the standard deviation is 4 minutes.
(a)
What value (in minutes) is 1 standard deviation above the mean?One standard deviation below the mean? What values are 2 standarddeviations away from the mean?
1 standard deviation above the mean Â
1 standard deviation below the mean Â
2 standard deviations above the mean Â
2 standard deviations below the mean
(b)
Assuming that the distribution of times is mound-shaped andapproximately symmetric,
approximately what percentage of times are between 29 and 45minutes? (Hint: See Example 3.19. Use the Empirical Rule.)
 Â
Less than 25 min or greater than 49 min?
Less than 25 min?
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2)
Data on weekday exercise time for 20 females, consistent withsummary quantities given in the paper "An Ecological MomentaryAssessment of the Physical Activity and Sedentary Behavior Patternsof University Students,"†are shown below.
Female—Weekday10.0 | 90.6 | 48.5 | 50.4 | 57.4 | 99.6 | 0.0 | 5.0 | 0.0 | 0.0 |
5.0 | 2.0 | 10.5 | 5.0 | 47.0 | 0.0 | 5.0 | 54.0 | 0.0 | 48.6 |
Calculate the values of the median and interquartile range.
median interquartile range
Interpret the values of the median and interquartile range.
The median exercise time of indicates that half of the exercisetimes were below, and the remaining half were above. Theinterquartile range tells us that the middle fifty percent ofexercise times had a range of.