MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Lichen has a high absorbance capacity for radiation fallout from nuclear accidents.
Since lichen is a major source for Alaskan caribou, and caribou is major food source tor the Alaskan
villagers, it is important to monitor the level of radioactivity in lichen.
Researcher at the University of Alaska, Fairbanks, collected 9 lichen specimens and measured the
amount in micro-curies per milliliter) of the radioactive element cesium-137 for each. Using the Minitab
software, it was found that the mean and standard deviation for the 9 observations were
X = 0.009027
аnd
s = 0.004854
A) Give a point estimate for the mean amount of cesium in lichen specimens collected in Alaska.
B) Give the t- value used in a small sample 95% confidence interval for the true mean amount of cesium
in Alaskan lichen specimens.
C) Form a 95% confidence interval for the true mean amount of cesium in Alaskan lichen specimens.
D) Give a practical interpretation for the interval you obtained in part C.
E) What assumptions are necessary for interval in part C to be valid?
F) What would you do, if you want to decrease the width of the interval you found in part C?
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Transcribed Image Text:Lichen has a high absorbance capacity for radiation fallout from nuclear accidents. Since lichen is a major source for Alaskan caribou, and caribou is major food source tor the Alaskan villagers, it is important to monitor the level of radioactivity in lichen. Researcher at the University of Alaska, Fairbanks, collected 9 lichen specimens and measured the amount in micro-curies per milliliter) of the radioactive element cesium-137 for each. Using the Minitab software, it was found that the mean and standard deviation for the 9 observations were X = 0.009027 аnd s = 0.004854 A) Give a point estimate for the mean amount of cesium in lichen specimens collected in Alaska. B) Give the t- value used in a small sample 95% confidence interval for the true mean amount of cesium in Alaskan lichen specimens. C) Form a 95% confidence interval for the true mean amount of cesium in Alaskan lichen specimens. D) Give a practical interpretation for the interval you obtained in part C. E) What assumptions are necessary for interval in part C to be valid? F) What would you do, if you want to decrease the width of the interval you found in part C?
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