(b) What is the total number of outcomes of this experiment? 24 (c) What is the probability that two blue balls are chosen? 1/3 X
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- One urn, U1, contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn, U2, contains two red balls (labeled R4 and R5) and two blue balls (labeled B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. (a) Which of the following is a possibility tree that shows all possible outcomes of this experiment?One urn, U1, contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn, U2, contains two red balls (labeled R4 and R5) and two blue balls (labeled B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. What is the probability that two blue balls are chosen?An experiment is conducted to examine the effects of a new drug on genetically modified mice. The drug is to be given as an additive to water. Suppose the mice are housed in separate cages. The effects of the new drug will be compared to the effects of an existing drug, and the type of drug the mice will receive are randomly assigned by cage. What is the experimental unit/subject?
- Here is one way in which nature regulates the size of animal populations: high population density attracts predators, who remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. The researcher set up four similarly sized circular pens on sandy ocean bottom in southern California. He chose young perch at random from a large group and placed 10,10, 20,20, 40,40, and 6060 perch in the four pens. Then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the perch left after two hours. The table contains data on the proportions of perch eaten in four repetitions of this setup22.this setup22. Perch Proportion Killed 10 0.0 0.1 0.3 0.3 20 0.2 0.3 0.3 0.6 40 0.075 0.3 0.6 0.725 60 0.517 0.55 0.7 0.817 SOLVE: What is the correlation, ?,? between the number of perch and the proportion of prey killed?A biology student wanted to determine if using fertilizer would promote plant growth. The student randomly selected 20 plants and randomly assigned 10 of them to a large square container and the other 10 to a different large square container. Both containers had the same amount of soil and received the same amount of water and light. One container also received fertilizer and the other container did not. Is this a valid experimental design? O Yes, each plant was randomly assigned to the large containers. O Yes, the variables not being measured-soil, water, and light-were controlled. O No, both containers did not receive the fertilizer. O No, the experiment did not use replication of the experimental units. Mark this and return Save and Exit Next Subrnit ch 85°F Sur F6 F8 F9 F10 F11 F12 & 5 8. D G H K B N MA dog food company want to compare a new lower-calorie food with their standard food to see if it is effective in helping inactive dogs maintain a healthy weight. They have found dog owners willing to participate in the trial. The dogs are first classified as small, medium, or large breeds, and then they randomly select some of each type of dog for one of two groups. One group eats nothing but the low-calorie food and the other eatsnothing put the company's original food. After 6 months, the dog's weights will be checked. a. What is the population of interest? b. Which group is the control group? c. Draw a table/diagram illustrating the treatments.