Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with mean 186.3 ft and standard deviation 75.6 ft. You intend to measure a random sample of n=233 treess. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
What is the Standard Deviation?
What is the Mean?
Maximum and Minimum ?
Answer:
Given,
Mean = 186.3
Standard deviation = 75.6
Sample = 233
Mean = x = = 186.3
Standard deviation = s/sqrt(n) = 75.6/sqrt(233) = 4.9527
Minimum = - 2* = 186.3 - 2*4.9527 = 176.3946
Maximum = + 2* = 186.3 + 2*4.9527 = 196.2054
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