Graph the data and comment on skewness and outliers

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How accurate are radon detectors of a type sold to homeowners? To answer this question, university researchers placed 12 detectors in a chamber that exposed them to 105 picocuries per liter (pCi/l) of radon.16 The detector readings are as follows:

91.9      97.8      111.4      122.3      105.4        95.0

103.8      99.6        96.6      119.3      104.8      101.7

We wonder if the median reading differs signi?cantly from the true value 105.

(a) Graph the data, and comment on skewness and outliers. A rank test is appropriate.

(b) We would like to test hypotheses about the median reading from home radon detectors:

H0: median = 105

Ha: median /= 105

To do this, apply the Wilcoxon signed rank statistic to the differences between the observations and 105. (This is the one-sample version of the test.) What do you conclude?

 

Reference no: EM131014278

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