Twenty (20) students randomly assigned to an experimental group are studying for a test while listening to classical music. Thirty (30) students randomly assigned to a control group are studying for the same test in complete silence. Both groups take the test after studying for two weeks, and their performance on the test is as follows:

Question

Exp
40-38-21-42-48-42-44-48-57-42-32-32-38-40-34-65-37-67-48-39-45-28-57-58-43-42-51-52-30-29-
Cont
51-25-33-42-40-55-50-24-38-21-38-38-54-29-52-58-30-25-20-28-26-44-38-35-34-26-30-32-50-30-
In this problem, you will determine what the experimenter should conclude
Using the 5% level of significance (alpha):
a) Determine the null and research hypotheses;
b) Select the correct template (templates for the Single Sample t-test, the Independent Samples t-test, and the ANOVA are included in the tabs that follow this tab);
c) Complete each of the blank cells in the template selected
d) State your conclusion, making reference to the test statistic, the critical value, the effect size, and your hypotheses.

Answer 1

a) Ho: music mean = silence mean
Ha: music mean ≠ silence mean

Independent Samples t-test

Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

I'll let you fill in the blank cells.