1. A randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Is there a statistically significant difference in ages of children assigned to the treatments? Run the appropriate test at a 5% level of significance.

Please help me solve the following questions:

a) Create null and research hypotheses. State your alpha. b) Select and share the appropriate test statistic formula. c) Determine the relevant critical value and set up your decision rule. d) Compute the test statistic. e) State your conclusion