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: x1; n̟ = 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 x1, S1, X2, and s2. (Round your answers to one decimal place.) X1 = 747.5 ppm S1 = 170.4 ppm X2 = 738.9 ppm $2 = 212.1 V ppm (b) Let 4, be the population mean for x, and let u, be the population mean for x2. Find an 80% confidence interval for H1 - H2. (Round your answers to one decimal place.) lower limit -89.60 X ppm upper limit 106.80 X 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: x1; n̟ = 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 x1, S1, X2, and s2. (Round your answers to one decimal place.) X1 = 747.5 ppm S1 = 170.4 ppm X2 = 738.9 ppm $2 = 212.1 V ppm (b) Let 4, be the population mean for x, and let u, be the population mean for x2. Find an 80% confidence interval for H1 - H2. (Round your answers to one decimal place.) lower limit -89.60 X ppm upper limit 106.80 X ppm
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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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: x2; n2 = 16
%3D
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 s,. (Round your answers to one decimal place.)
X1 = 747.5
ppm
S1 = 170.4
ppm
X2 = 738.9
ppm
S2 = 212.1
ppm
(b) Let u, be the population mean for x, and let u, be the population mean for x2. Find an 80% confidence interval for H1 - H3. (Round
your answers to one decimal place.)
lower limit
-89.60
X ppm
upper limit
106.80
X ppm
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