Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram o

Question

Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,”) by Mangano, et al., Science of the Total Environment). Use a 0.05 significance level to test the claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents. Use the Wilcoxon rank-sum test.

Pennsylvannia: 155, 142, 149, 130, 151, 163, 151, 142, 156, 133, 138, 161

New York: 133, 140, 142, 131, 134, 129, 128, 140, 140, 140, 137, 143

Multiple Choice:

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Explanation / Answer

We shall use the open source statistical package R to answer this . Please see the complete R snippet is as follows

Please note that the inages in the answers are not loading up.

The complete R snippet is

Pennsylvannia<-c( 155, 142, 149, 130, 151, 163, 151, 142, 156, 133, 138, 161)
NewYork<- c( 133, 140, 142, 131, 134, 129, 128, 140, 140, 140, 137, 143)

# wilcox test
wilcox.test(Pennsylvannia,NewYork)

The results are

> wilcox.test(Pennsylvannia,NewYork)

   Wilcoxon rank sum test with continuity correction

data: Pennsylvannia and NewYork
W = 116.5, p-value = 0.0102
alternative hypothesis: true location shift is not equal to 0

Hence , as the p value is less than 0.05 , we reject the null hypothesis in favor of alternate hypothesis

Correct answer is thus D

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