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# In some locations, radiation levels in homes are measured at well above normal background levels in the

environment. As a result, many

architects and builders are making design changes to ensure adequate

air exchange so that radiation will not be "trapped" in homes. In one such

location, 50 homes' levels were measured and the mean level was 10

parts per billion (ppb), the median was 8ppb and the standard deviation

was 3ppb. Background levels in this location are at about 4ppb.

(i) Based on these results, is the distribution of the 50 homes' radiation

levels symmetric, skewed to the left or skewed to the right? Why?

(ii) Use both the Chebyshev's Rule and the Empirical Rule to describe

the distribution of radiation levels. Which do you think is most

appropriate in this case? Why?

(iii) Use the results from part (ii) to approximate the number of homes in

this sample that have radiation levels above the background level.

(iv) Suppose another home is measured at a location 10 miles from the

one sampled and has a level of 20ppb. Is it likely that this new

measurement comes from the same distribution of radiation levels

as the other 50? How would you go about confirming your

conclusion?

a. right skewed b. 75% data =(4 ppb to 16 ppb) 88.89% data... View the full answer

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