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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: x,; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x,; n, = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, x3, and s3. (Round your answers to four decimal places.) x = ppm ppm X2 = ppm S2 = ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - Hz. (Round your answers to one decimal place.) lower limit ppm upper limit ppm

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: x,; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x,; n, = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, x3, and s3. (Round your answers to four decimal places.) x = ppm ppm X2 = ppm S2 = ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - Hz. (Round your answers to one decimal place.) lower limit ppm upper limit ppm

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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: x,; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x,; n, = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, X2, and s,. (Round your answers to four decimal places.) X = ppm S1 = X2 = S2 = ppm ppm ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - µ,. (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. 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: x,; n, = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x,; n, = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 n USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, X2, and s,. (Round your answers to four decimal places.) X = ppm S1 = X2 = S2 = ppm ppm ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - µ,. (Round your answers to one decimal place.) lower limit ppm upper limit ppm
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