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 soilsamples 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 veryimportant 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 thepopulation distributions of phosphorous are mound-shaped and symmetric for these two regions.Region I: X₁; n₁ = 12540 810 790 790 340 800890 860 820 640 970 720Region II: X₂; n₂ = 16750 870 700700 810 965 350 895 850710 890 520 650 280 993635 955 710LUSE 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.)ppmx₁ =S₁ =ppmx2 =ppmS2 =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.ppmppmupper 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 regionmore 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.01O Standard normal was used because a₁ and ₂ are known.

Answered: ogical sit en distributions of…

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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A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 782 randomly selected fatal bicycle accidents occurred. At α=0.10,can you reject the claim that the distribution is uniform? Complete parts a through d below. Day Frequency, f Sunday 109 Monday 111 Tuesday 106 Wednesday 112 Thursday 121 Friday 106 Saturday 117 Question content area bottom Part 1 (a) State H0 and Ha and identify the claim. H0: The distribution of fatal bicycle accidents throughout the week is uniform not uniform Ha: The distribution of fatal bicycle accidents throughout the week is
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