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organic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). eochemical 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, reven 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 wmmetric for these two regions. Region I: x,; n, = 15 1,551 | 1,230 1,080 2,330 1,850| 1,860 853 875 2,340 1,080 1,130| 1,450 1,260 | 1,010 910 Region II: x,; n, = 14 540 808 1,230 1,770 1,650 860 790 960 890 640 1,180| 1,160 1,050| 1,020 n USE SALT a) Use a calculator with mean and standard deviation keys to verify that x, s,, x2, and sz. (Round your answers to four decimal places.) x, = ppm ppm X2 = ppm $2 ppm b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - Hz. (Round your answers to one decimal place.) lower limit ppm upper limit ppm

organic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). eochemical 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, reven 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 wmmetric for these two regions. Region I: x,; n, = 15 1,551 | 1,230 1,080 2,330 1,850| 1,860 853 875 2,340 1,080 1,130| 1,450 1,260 | 1,010 910 Region II: x,; n, = 14 540 808 1,230 1,770 1,650 860 790 960 890 640 1,180| 1,160 1,050| 1,020 n USE SALT a) Use a calculator with mean and standard deviation keys to verify that x, s,, x2, and sz. (Round your answers to four decimal places.) x, = ppm ppm X2 = ppm $2 ppm b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - Hz. (Round your answers to one decimal place.) lower limit ppm upper limit ppm

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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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: x,; n, = 15 875 1,080 2,330 1,850 1,860 853 1,551 1,230 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 | 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) X1 ppm S. = ppm X2 ppm 52 ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - H. (Round your answers to one decimal place.) lower limit ppm upper limit ppm
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. 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: x,; n, = 15 875 1,080 2,330 1,850 1,860 853 1,551 1,230 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: x,; n, = 14 540 808 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 | 1,020 In USE SALT (a) Use a calculator with mean and standard deviation keys to verify that x,, S,, x2, and s,. (Round your answers to four decimal places.) X1 ppm S. = ppm X2 ppm 52 ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - H. (Round your answers to one decimal place.) lower limit ppm upper limit ppm
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