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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. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kingst. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound- shaped and symmetric for these two regions. Region I: x4; ng = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; na = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and sz. (Round your answers to one decimal place.) X1-747.5 ppm S1 = 170.4 X2= 738.9 S2 - 212.1 ppm v ppm ppm (b) Let 4, be the population mean for x1 and let #z be the population mean for x2. Find an 80% confidence interval for u1 - H2. (Round your answers to one decimal place.) |x ppm X ppm lower limit -89.092 upper limit 101.292

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. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kingst. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound- shaped and symmetric for these two regions. Region I: x4; ng = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; na = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and sz. (Round your answers to one decimal place.) X1-747.5 ppm S1 = 170.4 X2= 738.9 S2 - 212.1 ppm v ppm ppm (b) Let 4, be the population mean for x1 and let #z be the population mean for x2. Find an 80% confidence interval for u1 - H2. (Round your answers to one decimal place.) |x ppm X ppm lower limit -89.092 upper limit 101.292

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
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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. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kingst. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound- shaped and symmetric for these two regions. Region I: x4; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; ną = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys to calculate x, s1, X2, and s2. (Round your answers to one decimal place.) X =747.5 ppm = 170.4 ppm X2 = 738.9 ppm S2 = 212.1 ppm (b) Let u, be the population mean for x, and let uz be the population mean for x2. Find an 80% confidence interval for u - H2. (Round your answers to one decimal place.) |-89.092 101.292 X ppm X ppm lower limit upper limit
Transcribed Image Text: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. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kingst. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound- shaped and symmetric for these two regions. Region I: x4; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; ną = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys to calculate x, s1, X2, and s2. (Round your answers to one decimal place.) X =747.5 ppm = 170.4 ppm X2 = 738.9 ppm S2 = 212.1 ppm (b) Let u, be the population mean for x, and let uz be the population mean for x2. Find an 80% confidence interval for u - H2. (Round your answers to one decimal place.) |-89.092 101.292 X ppm X ppm lower limit upper limit
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