Question Set 2: Mathematical Reasoning Skills by Curriculum A large school district is considering changing their kindergarten mathematics curriculum. Before making any major changes, they first want to collect data to compare the outcomes of the two curricula. They have obtained a representative sample of 70 kindergarten students and randomly assigned each to be taught with either the new or old curriculum. After one year of instruction, all students completed an assessment of mathematical reasoning skills. Summarized sample data are presented in the table below. Curriculum N Mean SD New 36 89.7 4.5 Old 34 86.1 5.1 A. Construct a 95% confidence interval to estimate the mean difference in the mathematical reasoning scores of the two groups. Use Minitab Express; you should not need to do any hand calculations. Remember to copypaste all relevant Minitab Express output and to clearly identify your answers. [15 points] B. Use the five-step hypothesis testing procedure given below to determine if there is evidence that the mean mathematical reasoning scores are different in the population. If assumptions are met, conduct a t test. Use Minitab Express; you should not need to do any hand calculations. Remember to copy+paste all relevant Minitab Express output and to clearly identify your answers. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p value Step 4: Decide to reject or fail to reject the null hypothesis Step 5: State a real-world conclusion C. Compute Cohen's d for the difference in the two sample means. You will need to do calculations by hand. Remember to show all work. [10 points] For a review of Cohen's d see page 6.4 of the online course notes. D. Interpret the value of Cohen's d that you computed in part C. [S points]