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.

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