A population consists of the following N 6 scores a Compute

A population consists of the following N = 6 scores:

(a) Compute and for the population. (Use 1 decimal place.)

(b) Find the z-score for each score in the population. (Use 2 decimal places.)

(c) Transform the original population into a new population of N = 6 scores with a mean of = 51 and a standard deviation of = 6. (Use 2 decimal places.)

Solution

a. Mean is 6 and standard deviation is 4

b. z=(x-mean)/standard deviation. So the x values are as below

-0.5

7.5

5.5

0

-0.5

1.5