Pool the variances in (a) and (b) if justified by the summary statistics provided in Question 2.

Briefly explain your choice of inferences with or without pooled variances.

Define the null and alternative hypotheses in terms of the population means.

What is the value of the test statistic and P-value? What is the null distribution of the test statistic?

Based on the P-value, is there sufficient evidence to indicate a beneficial effect of weekly homework assignments on the midterm scores using = 0.025?

Estimate and interpret the effect of weekly homework assignments on the mid//term scores with a 95% confidence interval. Is the interval consistent with the outcome of the test in part (a)?

Summary statistics for MT: Group by: Strategy Strategy Std. dev. n 30 8.0878083 H 30 5.22593 HT 30 11.677663 T 30 8.7890344 Two sample T hypothesis test: ,: Mean of MT H2 : Mean of MT where Strategy="C" Hi - Hz : Difference between two means H:H- Hz = 0 HAH - H2 > 0 (with pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat Critical t P-value H-12 11.683333 2.3031347 148 5.0727964 1.9761225 0 (with pooled variances) Hypothesis test results: Difference Sample Diff. Std. Err. DF T-Stat Critical t P-value H-12 11.683333 2.3031347 148 5.0727964 1.9761225