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The heights of fully grown trees of a specific species are normally distributed,

ID: 3247915 • Letter: T

Question

The heights of fully grown trees of a specific species are normally distributed, with a mean of 64.0 feet and a standard deviation of 6.00 feet. Random samples of size 15 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is mu_x = The standard error of the sampling distribution is our sigma _0 = (Round to two decimal places as needed.)

Explanation / Answer

Mean will be same as the population mean which is 64

Standard error is 6/sqrt(15)=4.14