Q.2 Since lichen is a major source for Alaskan caribou, and caribou is major food source for 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 we found that the mean and standard deviation for the 9 observations are x= 0.009027 and s = 0.004854 respectively. 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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Q.2 Since lichen is a major source for Alaskan caribou, and caribou is major food source for 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 we found that the mean and standard deviation for the 9 observations are x= 0.009027
and s =
0.004854 respectively.
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?
Transcribed Image Text:Q.2 Since lichen is a major source for Alaskan caribou, and caribou is major food source for 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 we found that the mean and standard deviation for the 9 observations are x= 0.009027 and s = 0.004854 respectively. 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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