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ogical sit en 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 LUSE SALT S1 = x₂ = $2 (a) Use a calculator with mean and standard deviation keys to calculate x₁, S1, X2, and $₂. (Round your answers to four dec ppm ppm ppm ppm

ogical sit en 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 LUSE SALT S1 = x₂ = $2 (a) Use a calculator with mean and standard deviation keys to calculate x₁, S1, X2, and $₂. (Round your answers to four dec ppm ppm ppm ppm

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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: X₁; n₁ = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: X₂; n₂ = 16 750 870 700 700 810 965 350 895 850 710 890 520 650 280 993 635 955 710 LUSE SALT (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and s₂. (Round your answers to four decimal places.) ppm x₁ = S₁ = ppm x2 = ppm S2 = ppm (b) Let u be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 85% confidence interval for H₁ - H₂. (Round your answers to one decimal place.) lower limit. ppm ppm upper limit (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 85% level of confidence, is one region more interesting than the other from a geochemical perspective? O Because the interval contains both positive and negative numbers, we can not say that one region is more interesting than the other. O Because the interval contains only negative numbers, we can say that region II is more interesting than region I. O We can not make any conclusions using this confidence interval. O Because the interval contains only positive numbers, we can say that region I is more interesting than region II. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and ₂ are known. O Standard normal was used because ₁ and ₂ are unknown. O Student's t was used because ₁ and 2 are unknown. 01 O Standard normal was used because a₁ and ₂ are known.
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: X₁; n₁ = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: X₂; n₂ = 16 750 870 700 700 810 965 350 895 850 710 890 520 650 280 993 635 955 710 LUSE SALT (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and s₂. (Round your answers to four decimal places.) ppm x₁ = S₁ = ppm x2 = ppm S2 = ppm (b) Let u be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 85% confidence interval for H₁ - H₂. (Round your answers to one decimal place.) lower limit. ppm ppm upper limit (c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 85% level of confidence, is one region more interesting than the other from a geochemical perspective? O Because the interval contains both positive and negative numbers, we can not say that one region is more interesting than the other. O Because the interval contains only negative numbers, we can say that region II is more interesting than region I. O We can not make any conclusions using this confidence interval. O Because the interval contains only positive numbers, we can say that region I is more interesting than region II. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and ₂ are known. O Standard normal was used because ₁ and ₂ are unknown. O Student's t was used because ₁ and 2 are unknown. 01 O Standard normal was used because a₁ and ₂ are known.
Expert Solution
Step 1: Given,

For region 1:

x1: 540,810,790,790,340,800,890,860,820,640,970,720

For region 2:

x2:  750,870,700,810,965,350,895,850,635,955,710,890,520,650,280,993


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