2. Independent Samples t-test: A psychologist wants to study if the problem solving ability of 10-year-old children differs from that of 8-year-old children. A random sample of 10 children is selected from each age group and their scores are given below. At a = 0.05, can the researcher conclude that 10-year olds have different problem solving abilities? Number of Concepts Recalled: 8-year-old Group: 24 23 16 17 19 13 17 20 15 25 10-year-old Group: 18 19 23 29 30 31 29 26 21 24 independent a. Name of Test: to sample t- test b. Verify the Assumptions for this test: . Random selection and random assignment (when possible) . age groups . Independent observations . Independent samples . Large samples . Bivariate data: 1 categorical variable (group) & 1 numerical variable (score) c. Hypotheses: Ho: Ha: d. Test Statistic Value: d.f.: p-value: e. Decision: Reject or Fail-to-Reject Ho (Circle One)