Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation for Cadmium is Cd.) Mush- rooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et. al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in "Influence of Some Factors in Toxicity and Accumulation of Cd from Edible Wild Macrofungi in NW Spain (Journal of Environmental Science and Health, Vol. B33(4), pp. 439-455). The data obtained by the researchers are below. Past data suggest that that Cd in the population of Boletus pinicola to be normally distributed. 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0. 25 0.59 0.32 (Note: the number 0.5 ppm is NOT needed anywhere in this problem! It will be used next week! (a) Find the sample mean, sample standard deviation and sample size. Use correct notation & include units. Round to 4 decimal places for now. (b) A research team would like to find a 95% confidence interval for the population mean Cadmium concentration in Boletus pinicola. Determine which confidence interval method applies and check it satisfies all 3 conditions.
Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation for Cadmium is Cd.) Mush- rooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et. al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in "Influence of Some Factors in Toxicity and Accumulation of Cd from Edible Wild Macrofungi in NW Spain (Journal of Environmental Science and Health, Vol. B33(4), pp. 439-455). The data obtained by the researchers are below. Past data suggest that that Cd in the population of Boletus pinicola to be normally distributed. 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0. 25 0.59 0.32 (Note: the number 0.5 ppm is NOT needed anywhere in this problem! It will be used next week! (a) Find the sample mean, sample standard deviation and sample size. Use correct notation & include units. Round to 4 decimal places for now. (b) A research team would like to find a 95% confidence interval for the population mean Cadmium concentration in Boletus pinicola. Determine which confidence interval method applies and check it satisfies all 3 conditions.
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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Transcribed Image Text:Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation for Cadmium is Cd.) Mush-
rooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and
Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm).
M. Melgar et. al. measured the cadmium levels in a random sample of the edible mushroom Boletus
pinicola and published the results in "Influence of Some Factors in Toxicity and Accumulation of Cd
from Edible Wild Macrofungi in NW Spain (Journal of Environmental Science and Health, Vol. B33(4),
pp. 439-455). The data obtained by the researchers are below. Past data suggest that that Cd in the
population of Boletus pinicola to be normally distributed.
0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0. 25 0.59 0.32
(Note: the number 0.5 ppm is NOT needed anywhere in this problem! It will be used next week!
(a) Find the sample mean, sample standard deviation and sample size. Use correct notation & include
units. Round to 4 decimal places for now.
(b) A research team would like to find a 95% confidence interval for the population mean Cadmium
concentration in Boletus pinicola. Determine which confidence interval method applies and check it
satisfies all 3 conditions.
(c) Find the margin of error. Round your answer to four decimal places for now.
Show your work by displaying the formulas you used with the numbers plugged in.
• In addition, draw a fully labeled picture that represents the value of ze or te you used to find
the margin of error and include the syntax you used to calculate that value of ze or te.
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