7. Construct 90% confidence intervals to estimate the difference between population means and proportions for the following provided data: [10 Marks] a) Sample 1 x1 = 65 S = 9 Sample 2 x2 = 55 s = 12 b) n = 19 i) Assume # 02 ii) Assume = 0 n2 = 25 Sample 1 x = 150 n = 300 Sample 2 x2 = 100 n2 = 400 10.A new drug that induces sleeping is developed and the developer claims the drug has the same effect on both children and adults. In trying to find out if the developer's claim is true, we get random samples of 50 children and 90 adults and find that after administering the drug, 23 of children slept and 40 of adults slept. By taking a = 0.1 and interpreting results after testing, carry out [10 Marks] a) A hypothesis test of the developer's claim if it is true.