Chapter 10 Paired Samples t Test

Question 1

Sampling distributions of mean differences

Answer 1

Difference in scores of each participant arranged on a chart to show the distribution of mean differences

Question 2

When to use the paired samples t test

Answer 2

when the data are arranged in related pairs

-an experimental design in which every participant experiences both levels of the independent variable

Question 3

Calculating degrees of freedom

Answer 3

df= N-1

Question 4

Computation of the paired samples t test

Answer 4

t= (M-μm) / Sm

Question 5

Standard error

Answer 5

Sm= s/ √N

Question 6

Conducting hypothesis tests using paired samples t test

Answer 6

1. Identify the populations, distribution, and assumptions. Then choose the appropriate test
2. State the null and alternative hypotheses in words and symbolic notation
3. Determine the characteristics of the comparison distribution. This will be the distribution of mean differences
4. Determine the critical values
5. calculate the test statistic
6. decide to reject or fail to reject the null hypothesis

Question 7

Assumptions of paired samples t test

Answer 7

1. Dependent variable is measured as a scale variable
2. Participants randomly selected
3. population of interest is normally distributed
   - if N >30, should probably be. fine
4. independent variable is nominal
5. We have pairs of related scores

Question 8

Calculating 95% confidence interval

Answer 8

Mlower= -t(Sm) + M
Mupper= t(Sm) + M

Question 9

Cohen’s d

Answer 9

d= (M-μ) / s
μ= 0