To test the hypothesis that students who finish an exam first get better grades, a professor kept track of the order in which paper were handed in. the first 25 paper showed a mean score of 77.1 with a standard deviation of 19.6. the last 24 paper turned in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at a=.05? Perform a one tailed test.

tc=1.678

sp2=499.576

t=1.221

p-value=.1141

Perform a right tail F-test to test whether it's reasonable to assume equal variances.

State a null and alternative hypothesis.

Select a level of significance.

Identify the test statistic (assume equal variances).

Formulate a decision rule.

Make a decision.

Compute p-value and interpret.

Is it reasonable to assume equal variances?