Samping Error 8.1 For each of the following, assume that the sample was selected

Question

Samping Error 8.1 For each of the following, assume that the sample was selected from a population with a. 75 and -20 What do you expect the value of M to be in a perfect world with no sampling error, if you have a sample of n 4 scores? b. What is the standard error of M for a sample of n 4 scores? c. What do you expect the value of M to be in a perfect world with no sampling error, if you have a sample of n 25 scores? d. What is the standard error of M for a sample of n 25 scores? 8.2 A population has a mean of a. If you select a random sample of n 4 scores from this population, how 80 and a standard deviation of -10. much error would you expect between the sample mean and the population mean? b. If you select a random sample of n 25 scores from this population, how much error would you expect between the sample mean and the population mean? c. How much error would you expect for a sample of n 100 scores?

Explanation / Answer

Ans:

8.1)

a)In this case,M would be equal to population mean i.e. 75

b)standard error of M=20/sqrt(4)=10

c)In this case,M would be equal to population mean i.e. 75

d)standard error of M=20/sqrt(25)=4

8.2)we have to calculate standard error here,as In statistics, a sample mean deviates from the actual mean of a population, this deviation is called the standard error.

a)standard error=10/sqrt(4)=5

b)standard error=10/sqrt(25)=2

c)standard error=10/sqrt(100)=1

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