Chapter 9
CHAPTER 9 EXERCISES: 1. A newly wed couple is investigating home selling price differences in three different areas. The given random sample data are in pesos. At the .05 significance level, test the claim that the three areas have the same mean price. Q.C. Metro Manila Makati 290,000 305,000 500,000 355,000 480,000 489,000 432,000 455,000 530,000 300,000 389,000 780,000 2. Marivic Xabut, owner of Edman's fitness Gym, claims that a new exercise program will reduce a person's weight by 9 pounds on thee average over a 3 - week period. The weight of 4 women who participated in the exercise program are recorded before and after the 3 - week period Women Weight Before Weight After A 110 100 B 125 122 C 127 125 D 118 116 At the .05 level of significance, determine whether the new exercise program is effective.3. A group of marketing students conducted a study to determine if there is a significance difference among the four popular supermarkets as far as the number of buyer coming in to the supermarket at a certain period of time. Use the .01 significance level in testing the hypothesis of the students. Supermarket 1 Supermarket 2 Supermarket 3 Supermarket 4 50 35 25 20 45 39 30 19 43 40 27 22 47 38 24 40 25 26 4. In a pharmacological experiment, 4 concentrations of a certain mixture are used to lessen the pain over a specified period of time. The following data, in minutes, are recorded for the pain until the patients are relieved. Concentration 1 2 3 4 15.4 20.3 25.32 19.5 12.5 25.4 17.52 23.4 13.1 21.2 20.21 18.5 19.4 23.15. The data in a complete two - factor study are shown here: Factor A Factor B X Y 16 Z 10 12 10 14 12 13 9 14 15 20 17 20 28 25 20 25 18 13 20 19 14 19 22 12 18 23 15 26 16 15 8 9 16 10 22 20 11 III 20 18 25 19 19 27 23 18 9 17 17 19 21 18 23 IV 15 25 24 23 24 25 23 a. Construct the analysis of variance table for data. b. Test the hypothesis at the .01 level of significance that there is no interaction between the factors.6. Miss Cruz conducted an experiment designed to compare the relative effectiveness of three methods for learning algebra. Fifteen males and fifteen females are divided into three groups with five members each and tough by the 3 different methods, namely: study group method, computer aided method, and game simulation method. At the end of the experiment, each student is then given a test. Sex Teaching Method Study Group Computer - Aided Male Game - Simulation 30 27 33 37 30 32 45 25 28 40 33 28 25 34 Female 34 29 18 20 31 20 46 30 27 25 32 30 37 24 31 31 a. Construct the ANOVA table. b. Is the interaction significance? C. Are there difference between methods? d. Are there differences due to the sex of the students
