3. Suppose you have calculated the sample mean, x = 96.34, from a sample size, n

Question

3. Suppose you have calculated the sample mean, x = 96.34, from a sample size, n = 15, and you know that the population standard deviation is, o = 12.67.

A) Calculate the standard error, ox, under the assumption that the population size is infinite.

B) Calculate the standard error, ox, if the population size, N = 600.

C) Calculate the standard error from part B, but assume that n = 25.

D) Compare the results from part B and part C. Use the characteristics of the sample mean to explain the results.

Explanation / Answer

A) standard error = SD/sqrt (n)

= 12.67/sqrt(15)

= 3.27

B) standard error = SD/sqrt(n) = 12.67/sqrt (600) = 0.517

C) standard error = SD/sqrt(n) =  12.67/sqrt (25) = 2.534

D) if the sample size will be large , the standard error Will be small and if the sample size will be small, the standard error will be large.

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