A species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg of water. Fourteen of the animals are collected and the calcium concentrations in their coelomic fluid are found to be: 28, 27, 29, 26, 30, 33, 31, 30, 33, 25, 30, 32, 21 and 31 mmole/kg. Test the appropriate hypothesis to conclude whether members of this species have a coelomic calcium concentration different than that of their environment.At the 0.05 level of significance, is there a evidence to conclude that the true average coelomic calcium concentration in the species is different than that of their environment? What assumptions must you make about the population distribution in order to conduct the hypothesis testing in part a.)? Clearly write down the test Statistic (in notations) used for hypothesis testing. Construct a 95% confidence interval estimate of the true average coelomic calcium concentration of the species. (Clearly write down the formula used and the answer)

Name: A species of marine arthropod lives in seawater that contains calcium
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Description: A species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg of water. Fourteen of the animals are collected and the calcium concentrations in their coelomic fluid are found to be: 28, 27, 29, 26, 30, 33, 31

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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 species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg of water. Fourteen of the animals are collected and the calcium concentrations in their coelomic fluid are found to be: 28, 27, 29, 26, 30, 33, 31, 30, 33, 25, 30, 32, 21 and 31 mmole/kg. Test the appropriate hypothesis to conclude whether members of this species have a coelomic calcium concentration different than that of their environment.

At the 0.05 level of significance, is there a evidence to conclude that the true average coelomic calcium concentration in the species is different than that of their environment?

What assumptions must you make about the population distribution in order to conduct the hypothesis testing in part a.)?

Clearly write down the test Statistic (in notations) used for hypothesis testing.

Construct a 95% confidence interval estimate of the true average coelomic calcium concentration of the species. (Clearly write down the formula used and the answer)

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