P0:17 VPN OMANTEL lı. A moodle.unizwa.edu.om STAT421 HW 6 1. Let the quantity of the production of a new machine and of the old machine are two population and normally distributed. Find the confidence...

Extracted text: P0:17 VPN OMANTEL lı. A moodle.unizwa.edu.om STAT421 HW 6 1. Let the quantity of the production of a new machine and of the old machine are two population and normally distributed. Find the confidence interval estimation of the differences between the means of the two populations. XI X2 42.1 42.7 41 43.6 41.3 43.8 41.8 43.3 42.4 42.5 42.8 43.5 43.2 43.1 42.3 41.7 41.8 44 42.7 44.1 Where X1: New machine and X2: Old machine. 2. The performance of two populations (Boys and Girls) is normally distributed. Find the confidence interval estimation of the differences between the means of the two populations. Boys: 39, 38, 27, 36, 40, 27, 43, 36, 34, 33 Girls: 41, 41, 33, 42, 47, 38, 41, 36, 36, 32, 46 Remarks: 1. Assume the variances of above examples are unknown. 2. Develop the right technique for obtaining the confidence interval estimation of the differences between the means of the two populations. 3. Assume the level of significance is 0.5