Question

Describe the kind of data that are collected for an independent-measures t-test and the hypotheses that the test evaluates. The key to helping formulate your explanation would be to include the assumptions of this statistical model, the type of sample used in this model, and a statement about the null hypothesis.

Answer 1

Independent-measures t-test :

1)you have to check equality of variance

Formula F = σ1^2/σ2^2 or S1^2/S2^2

F < Fcritical, Equal variance is not rejected

F > Fcritical, Equal variance is rejected

2)you have to decide it is Two-tailed or one-tailed test

If it is one-tailed rejection region will be different than two-tailed

That means the critical value will be changed

3) Find t statistics value

4) Find P-value from t value

If P-value > significance level, the Null hypothesis is not rejected

If P-value < significance level, the Null hypothesis is rejected

5)Using P value you have to write the conclusion whether it is not enough evidence to claim or is enough evidence to claim