A 99% confidence interval for 1 2 using the sample results x 1 = 501, s

A 99% confidence interval for μ1 − μ2 using the sample results x̅₁ = 501, s₁ = 115, n₁ = 400 and x̅₂ = 469, s₂ = 96, n₂ = 200

Use the t-distribution to find a confidence interval for a difference in means μ₁ − μ₂ given the relevant sample results. Give the best estimate for μ₁ − μ₂, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed.