In: Statistics and Probability
Use the t-distribution to find a confidence interval for a difference in means μ1 − μ2 given the relevant sample results. Assume the results come from random samples from populations that are approximately normally distributed. a) A 95% confidence interval for μ1 − μ2 using the sample results x1 ̅= 70.2, s1 = 9.7, n1 = 35 and x2 ̅= 67.5, s2 = 8.0, n2 = 30. b) A 99% confidence interval for μ1 − μ2 using the sample results x1 ̅= 499, s1 = 110, n1 = 300 and x2 ̅= 460, s2 = 94, n2 = 220.