Test H 0 : T = C vs H a : T <

Test H₀: μ_T = μ_C vs H_a: μ_T < μ_C using the fact that the treatment group (T) has a sample mean of 8.6 with a standard deviation of 4.1 while the control group (C) has a sample mean of 11.2 with a standard deviation of 3.4. Both groups have 25 cases.

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.