In a study of a random sample of 40 longleaf pine trees in the Wade Tract in Tho

Question

In a study of a random sample of 40 longleaf pine trees in the Wade Tract in Thomas County, Georgia, the researchers measured the diameter at breast height (DBH) for each tree in the tract. The file treediameter.txt contains the diameters of this random sample of 40 trees.

Report the sample mean x (use 2 decimal places):


Report the sample standard deviation s (use 4 decimal places):


Report the standard error of x, SEx (Use 4 decimal places. Also verify this number by

s/

):


Construct a 95% confidence interval for the population average diameter of longleaf pine trees. Round your answers to 3 decimal places.
The critical value t* is:     Lower limit of the CI:     Upper limit of the CI:  

Construct a 99% confidence interval for the population average diameter of longleaf pine trees. Round your answers to 3 decimal places.
The critical value t* is:    Lower limit of the CI:     Upper limit of the CI:  

Explanation / Answer

Descriptive Statistics: diameter

Variable Mean SE Mean StDev
diameter 27.29 2.80 17.71

One-Sample T: diameter

Variable N Mean StDev SE Mean 95% CI T critical value
diameter 40 27.29 17.71 2.80 (21.63, 32.95) 2.0226

One-Sample T: diameter

Variable N Mean StDev SE Mean 99% CI T critical value
diameter 40 27.29 17.71 2.80 (19.71, 34.87) 2.7079

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