Question

Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table 31.6x2 26.8 σ12-91.9 σ22-90.0 120 2-26 a. Construct the 99% confidence interval for the difference between the population means Negative values should be indicated b, a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is to

Answer 1

Date: 16/11/2019 Answer The 99% confidence interval for the difference between the population means is, First, compute z-critical value then find then find confidence interval The z-critical value is, From the standard normal table, the z-critical value at 99% confidence is 2.576 99% C.I. 4-H2t x + п, 91.90 90.00 =31.60 26.80 2.576 x 20 26 =4.80 7.31 =-2.51 to 7.11 The 99% confidence interval for the difference between the population means is - 2.51 to 7.11