Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x1; n1 = 15 857 1,551 1,230 875 1,080 2,330 1,850 1,860 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x2; n2 = 14 538 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020   (a) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to four decimal places.) x1= 1387.5333 ppm s1= 498.1712 ppm x2= 1039 ppm s2= 346.9886 ppm * I ALREADY ANSWERED (A) PLEASE DO NOT GIVE ANSWERS*   (b) Let ?1 be the population mean for x1 and let ?2 be the population mean for x2. Find an 80% confidence interval for ?1 − ?2. (Round your answers to one decimal place.)   lower limit ppm  upper limit ppm

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Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions.

Region I: x1; n1 = 15

857 1,551 1,230 875 1,080 2,330 1,850 1,860
2,340 1,080 910 1,130 1,450 1,260 1,010

Region II: x2; n2 = 14

538 808 790 1,230 1,770 960 1,650 860
890 640 1,180 1,160 1,050 1,020
 
(a)
Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to four decimal places.)
x1= 1387.5333 ppm s1= 498.1712 ppm x2= 1039 ppm s2= 346.9886 ppm
* I ALREADY ANSWERED (A) PLEASE DO NOT GIVE ANSWERS*
 
(b)
Let ?1 be the population mean for x1 and let ?2 be the population mean for x2. Find an 80% confidence interval for ?1 − ?2. (Round your answers to one decimal place.)
 
lower limit ppm 
upper limit ppm
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