Let
represent the full height of a certain species of tree. Assume that X
has a normal probability distribution with mean 30.2 ft and standard deviation 43.9 ft. You intend to measure a random sample of n=41 trees. 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.
To find the standard error of the sampling distribution, we can use the formula:
Standard Error = Standard Deviation / √(sample size)
Using the given information, we have:
Standard Error = 43.9 ft / √41
Standard Error ≈ 6.85 ft
So, the standard error of the sampling distribution is approximately 6.85 ft.