Question 4.112 pts Following data relate to the number of children per household (HH). Consider a population of 36 HHs. HH# HH# 2 HH# # of HH children 1 7 2 8 8 3 6 9 4 4 10 5 5 11 6 1 12 # of children 3 7 5 4 10 4 13 14 15 16 17 18 # of HHs children # 4 19 0 20 3 21 4 22 3 23 0 24 # of children 4 6 3 8 7 6 HH# # of children 25 4 26 2 27 3 28 29 3 30 7 31 32 33 34 35 36 # of children 8 2 6 4 1 1 3 (a) [4 pts) Draw 1-in-6 systematic sample. [You may use the following random number 05,02,12, 04, 34,01,03, 24, 06,10, 16, 05, 95] (b) [5 pts) Estimate the average number of children per HH from the sample information drawn in question (a) with 98% confidence interval. Interpret the results. (c) (3 pts] Determine the sample size to estimate ji to within an error bound of 0.4. 3