Chapter 5: Z-scores

Question 1

Z-scores

Answer 1

The number of standard deviations a given score is from the mean

Question 2

Population z score formula

Answer 2

population z= x-μ/ σ

Question 3

Population x value formula

Answer 3

population x= μ + zσ

Question 4

Sample z-score formula

Answer 4

sample z= x-M/s

Question 5

Sample x value formula

Answer 5

sample x= M + zS

Question 6

2 properties z-scores reveal

Answer 6

1. the sign reveals whether the x value is located above or below the mean
2. the numerical value of the z-score corresponds to the number of standard deviations between X and the mean of the distribution

Question 7

the mean of the z-score distribution is

Answer 7

0

Question 8

the standard deviation of the z-score distribution is

Answer 8

1

Question 9

most z-score values (95%) are between

Answer 9

+2 and -2

Question 10

advantage of standardizing distributions

Answer 10

2 or more distributions can be compared in the same metric

Question 11

t or f: transforming a dataset into a z-score distribution changes its shape

Answer 11

false; its shape stays the same

Question 12

z-scores as a descriptive statistic

Answer 12

describe exactly where each individual is located

Question 13

z-scores as an inferential statistic

Answer 13

determine whether each specific sample is representative of the population

Question 14

standardizing distributions based on z-scores

Answer 14

1. select the new mean and standard deviation that you would like for the distribution
2. use the z-scores to identify each individual’s position in the original distribution to compute the individual’s position in the new distribution

Question 15

raw score

Answer 15

the original unchanged score