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Direction: Answer the following. Classify each sample as random, systematic, cluster, convenience, or stratified. Write your answer before the number. 1, In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years. 2. Every seventh customer entering a shopping mall is asked to select his/her favorite store 3. Nursing supervisors are selected using random numbers in order to determine annual salaries. Every 100" hamburger manufactured is checked to determine its fat content. 5. Mail carriers of a large city are divided into four groups according to gender and according to whether they walk or ride on their routes, The 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year. Determine the size for each faculty-representative given in the table below. Solve the problem manually. Show your complete solution. Sample size according to Faculty-Representative Faculty from the Division of Pasig City Population Size per School Rizal High School 195 Manggahan High School 120 Eusebio High School 150 Santolan High School 120 Sta. Lucia High School 89 Pinagbuhatan High School 95 Nagpayong High School 85 Directions: Solve the given problems. Show complete solution by following the steps presented in this module. 1. The table below lists the scores of nine students in the Chemistry and Physics Tests. Find out whether there is a correlation between the two tests. Use the Pearson Correlation, Student 2 Chemistry Scores (x) Physics Scores (y) 2. The scores for nine students in history and algebra are as follows: History: 35. 23. 47. 17, 10, 43, 9, 6, 28 Algebra: 30, 33, 45, 23, 8, 49, 12, 4, 31 Compute using the Spearman rank correlation.4. Given: U = {1,2,3,4,5,6,7,8,9) * Let A = (1,3,5,7,9) Sets & Its Operations B = (2,4,6,8) C = (3,5) Solve the following sets. Answer directly. D = (2,4,6,8} Find: 1. Given: U = (1,2,3,5,6,7,8,9,10,12,15,16,18)* a. AUB = Let A = (1,6,8,10,12,15) B = (1,6,7,9,12) Enter your answer C = (1,6,8 ,10,16) Find: 5. b. AnB = * a. AnBAC = Enter your answer Enter your answer 6. c. A' = * 2. b. B - C =* Enter your answer Enter your answer 7. d. BOC =* Enter your answer 3. C. (CNB)' - A =* Enter your answer 8. e. (AnB) n (AUD) =* Enter your