Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 19 Sep 2017 My Price 9.00

Inorganic phosphorous

Archaeology: Ireland 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 (in 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 verify that

width=and s2≈ 212.1.

(b) Let μ1 be the population mean for x1 and let μ2be the population mean for x2 . Find a 90% confidence interval for m1 - m2.

(c) Interpretation 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 90% level of confidence, is one region more interesting than the other from a geochemical perspective?

(d) Check Requirements Which distribution (standard normal or Student’s t) did you use? Why?

Answers

Maurice Tutor
(5)
Status NEW Posted 19 Sep 2017 09:09 AM My Price 9.00

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