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Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively...

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 kings†. 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; n1 = 12
540 810 790 790 340 800
890 860 820 640 970 720
Region II: x2; n2 = 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 =  
s1 =  
x2 =  
s2 =  


(b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 − μ2. (Round your answers to one decimal place.)

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Region I: x1; n1 = 15
855 1550 1230 875 1080 2330 1850 1860
2340 1080 910 1130 1450 1260 1010
Region II: x2; n2 = 14
540 810 790 1230 1770 960 1650 860
890 640 1180 1160 1050 1020

(c) Use a calculator with mean and standard deviation keys to verify that x1, s1, x2, and s2. (Round your answers to one decimal place.)

x1 =  
s1 =  
x2 =  
s2 =  


(d) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 − μ2. (Round your answers to one decimal place.)

lower limit    
upper limit

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orchestra answered 1 year ago
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