Question

pls help

6. When or why might you convert raw data to z scores? 7. Briefly define each of the following: a. Distribution of sample means b. Expected value of M c. Standard error of M 8. A sample is selected from a population with a mean of u = 40 and a standard deviation of 8. (Hint: When we take a sample, we expect the mean to be the same as the population mean. Use the equation for standard error.) a. If the sample has n=4 scores, what is the expected value of M and the standard error of M? b. If the sample has n=16 scores, what is the expected value of M and the standard error of M? 9. A population has a standard deviation of 30. (Hint: use the equation for standard error.) a. On average, how much difference should exist between the population mean and the sample mean for n=4 scores randomly selected from the population? b. On average, how much difference should exist for a sample of n=25 scores? c. On average, how much difference should exist for a sample of n=100 scores?

Answer 1

6)

Enables us to compare two scores that are from different samples (which may have different means and standard deviations)

8)

Mean =40

S.D. = 8

a)

Expected M = 40

Standardr error = S.D / sqrt(n)

= 8 / 2

= 4

b)

Expected M = 40

Standardr error = S.D / sqrt(n)

= 8 / 4

= 2

9)

a)

Standard error = 30/ 2

= 15

b)

Standard error = 30/ 5

= 6

c)

Standard error = 30/ 10

= 3

Please let me know in case of any doubt.

Thanks in advance!

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