Hexavalent chromium has been identified as an inhalation carcinogen and an air toxin of concern in a number of different locales. A sample of 12 randomly selected houses from a certain region was tested for hexavalent chromium concentration (nanograms/m3) in the indoor and outdoor.    House Indoor Outdoor 1 0.07 0.29 2 0.08 0.68 3 0.09 0.47 4 0.12 0.35 5 0.13 0.49 6 0.15 0.86 7 0.17 0.32 8 0.20 1.59 9 0.22 0.52 10 0.23 0.88 11 0.26 0.49 12 0.28 1.11 Let μd=indoor−outdoorμd=indoor−outdoor. a. What is the mean difference d¯d¯? Use up to 4 decimal places.  b.What is the standard deviation of the differences sdsd? Use up to 4 decimal places.  c.What is the 98% confidence interval estimate for the mean difference in hexavalent chromium concentration between indoors and outdoors?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.