Discuss the below:
Q: 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?