6. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99. a) Using ?̅ = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments. b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)? c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)?
6. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99. a) Using ?̅ = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments. b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)? c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)?
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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16. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99.
a) Using ?̅ = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments.
b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)?
c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)?
Transcribed Image Text:16. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that
emanates from the body of a nerve cell. In a study of brain development, researchers examined brain
tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain
region of the brain and counted the number of dendritic branch segments emanating from each
selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard
deviation was 9.99.
a) Using x = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of
dendritic branch segments.
b) Is it reasonable to assume the observations are independent? What effect might this have on the
confidence interval you found in part (a)?
c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed
counts. How does what you learn from the histogram affect the confidence interval you found in part
(a)?
20
30
40
50
60
Number of dendritic branch segments
louanba
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