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1. Hypothesis test:
A psychologist has a treatment for anxiety. She gives one group of people (n=25) the treatment, and the other group of people (n=20) are waitlisted. After treatment, the treatment group has BAI (beck anxiety scale) scores of M = 12.5, with a variance of 3. The waitlist group has BAI scores of M = 14 and variance of 3.7. The researchers wants to test if the two means are different.
a. What are the null and alternate hypotheses?
b. What are the degrees of freedom for the two groups?
c. What is the pooled variance?
d. What is the pooled standard error?
e. What is the T you calculate?
f. If the critical value of T is 1.96, can you reject or not?
g. What is Cohen's D for your data and what does it mean?
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