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)?

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