Evaluation A. Consider the following measurements in liters for five samples of orange juice bottled by two competing companies A and B. Compute for mean and standard deviation. Company 2 4 A 0192 1.00 0.94 1.03 1.11 B 1 06 1.01 0.88 0.91 1.14B. Compute for the mean, standard deviation and the second quartile of the data below. Interpret results. Table 1. Rate per hour of factory workers in Pilar CI f 200-249 34 250-299 50 300-349 63 350-399 20 400-449 15 450-499 43 500-549 35 550-399 12 600-549 11 650-699 10 C. A manufacturing company fin produces LED lamps with a mean lifetime of 900 hours and a standard deviation of $5 hours. Find the probability that a random sample of 100 lamps will last on the average of 1. more than 915 hours a. What is the equivalent 2-score of 915 hours? b. Show the z-score and corresponding raw score in the normal curve? Shade the area. c. Find the probability. 2. between 895 and 905 hours. a. What is the equivalent z-score of 895 and 905 hours? b. Show the z-score and corresponding raw score in the normal curve? Shade the area. c. Find the probability. D. A popular burger chain sells a particular soda brand using a machine that discharges an average of 500 ml per cup. If the amount of drink is normally distributed with a standard deviation of 35 ml, I. What percent of the cups will contain more than 550 ml? 2. What is the number of cups that will contain more than 550 ml for 1500 drinks? 3. What percent of the cups will contain 490 to 530 ml? 4. What is the number of cups that will contain 490 to 530 ml for 1500 drinks?E. A survey tests on Leadership skills and on self-concept were administered to student- leaders. Both tests used a 10-point Likert-scale with 10 indicating the high scores for each iest. Scores for the student-leaders on the lexis follow Studen Self-concept Leadership t Code Skills 73 3.4 620 78 7.0 65 83 a. Computer. b. Interpret the result in terms of strength and direction. c. Find the repression line that will predict the leadership skill if the self-concept score is known. d. Predict the leadership will of a viudent leader whore welf-concept in 1.3