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: X₁; n₁ = 15 853 1,549 1,230 875 1,080 2,330 1,850 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: X2; 2 = 14 1,860 538 812 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020 (a) Use a calculator with mean and standard deviation keys to find ☑₁ and and s₁ (in ppm). (Round your answers to four decimal places.) 1 = 1421.0000 × ppm = 408.6474 ppm Use a calculator with mean and standard deviation keys to find ✗2 and S2 (in ppm). (Round your answers to four decimal places.) = 1042.1429 × ppm 52 = 377.6941 × ppm (b) Let μ₁ be the population mean for decimal place.) 227.8 to 530.0 ppm X1 and let M2 be the population mean for X2. Find an 80% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one

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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. Answer parts a-b please. 

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: X₁; n₁ = 15
853 1,549 1,230
875 1,080 2,330 1,850
2,340 1,080 910 1,130 1,450 1,260 1,010
Region II: X2; 2 = 14
1,860
538 812
790 1,230 1,770 960 1,650 860
890 640 1,180 1,160 1,050 1,020
(a) Use a calculator with mean and standard deviation keys to find ☑₁ and and s₁ (in ppm). (Round your answers to four decimal places.)
1
= 1421.0000 × ppm
= 408.6474
ppm
Use a calculator with mean and standard deviation keys to find ✗2 and S2 (in ppm). (Round your answers to four decimal places.)
= 1042.1429 × ppm
52
= 377.6941 × ppm
(b) Let μ₁ be the population mean for
decimal place.)
227.8 to 530.0
ppm
X1
and let M2
be the population mean for X2. Find an 80% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one
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: X₁; n₁ = 15 853 1,549 1,230 875 1,080 2,330 1,850 2,340 1,080 910 1,130 1,450 1,260 1,010 Region II: X2; 2 = 14 1,860 538 812 790 1,230 1,770 960 1,650 860 890 640 1,180 1,160 1,050 1,020 (a) Use a calculator with mean and standard deviation keys to find ☑₁ and and s₁ (in ppm). (Round your answers to four decimal places.) 1 = 1421.0000 × ppm = 408.6474 ppm Use a calculator with mean and standard deviation keys to find ✗2 and S2 (in ppm). (Round your answers to four decimal places.) = 1042.1429 × ppm 52 = 377.6941 × ppm (b) Let μ₁ be the population mean for decimal place.) 227.8 to 530.0 ppm X1 and let M2 be the population mean for X2. Find an 80% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to one
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