Hexavalent chromium has been identified as an inhalation carcinogen and an air toxin of concern in a number of different locales. The article "Airborne Hexavalent Chromium in Southwestern Ontario" (J. of Air and Waste Mgmnt. Assoc., 1997: 905-910) gave the accompanying data on both indoor and outdoor concentration (nanograms/m3) for a sample of houses selected from a certain region.

a. Calculate a confidence interval for the population mean difference between indoor and outdoor concentrations using a confidence level of 95%, and interpret the resulting interval.
b. If a 34th house were to be randomly selected from the population, between what values would you predict the difference in concentrations to lie?

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House Indoor 07 08 .09 .12 .12 .12 .13 .14.15 Outdoor .29 .68 47 .54 97 35 49 .84.86 House 10 1 12 13 14 15 16 17 Indoor .1517 .17.18 .18 .18 .18 .19 Outdoor .28.32.32 1.55 .66 .29 .21 1.02 House 18 19 20 21 22 23 24 25 Indoor.20 22 .22 23 23 .25 .26 .28 Outdoor 1.59 90 .52 .12 .54 88 49 1.24 House 26 27 28 29 30 31 32 33 Indoor.28 .29 34 39 40 45 .54 .62 Outdoor48 .27 .37 1.26 .70 .76 .99 .36