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, and the resulting counts were as follows31:

The mean of these counts is 35.67 and the standard deviation is 9.99.
Suppose we want to construct a 95% confidence interval for the population mean. We could calculate the standard error as and obtain the confidence interval as

And obtain the confidence interval as
35.67 ±(2.042)(1.67)
Or
32.3 (a) On what grounds might the above analysis be criticized?
(b) Using the classes [15,20), [20,25), and so on, construct a histogram of the data. Does the shape of the distribution support the criticism you made in part (a)? If so, explain how.

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38 42 25 35 35 33 48 53 17 24 26 26 47 28 24 35 38 26 38 29 49 26 4 26 35 38 44 25 45 28 31 46 32 39 59 53 SEP = 999 SEr=-= 1.67 = 1.67