In: Statistics and Probability
Assume that you have a sample of n 1 equals 8n1=8, with the sample mean Upper X overbar 1 equals 45X1=45, and a sample standard deviation of Upper S 1 equals 7S1=7, and you have an independent sample of n 2 equals 17n2=17 from another population with a sample mean of Upper X overbar 2 equals 31X2=31, and the sample standard deviation Upper S 2 equals 5.S2=5. Construct a 99% confidence interval estimate of the population mean difference between mu 1μ1 and mu 2μ2. Assume that the two population variances are equal.