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 selectedfrom each age group and their scores are given below. At = 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 24a. Name of Test: _________________________________________________b. Verify the Assumptions for this test:Random selection and random assignment (when possible)oIndependent observationsoIndependent samplesoLarge samplesoBivariate data: 1 categorical variable (group) & 1 numerical variable (score)oc. Hypotheses: H0:Ha:d. Test Statistic Value: _______________ d.f.: _______________ p-value: _______________e. Decision: Reject or Fail-to-Reject H0 (Circle One)f.Summary Statement in APA format:g. Calculate a 95% Confidence Interval for the difference in population means: