1 A surveyor randomly interviewed 65,439 people who live in Virginia to gather information on whether national healthcare is accomplishing its goals. Part A: What are the population and sample in this survey? (4 points) Part B: The survey found that 71% of females and 88% of males visited a family doctor at least once in the past year. Do you think these approximations of the sample are close to approximations of the entire population? Explain. (6 points) Question 2 Bulls can develop respiratory issues as they get older. This may compromise their ability to breath properly which affects their energy level and overall health. A researcher wishes to conduct a study to find which of two injection therapies. Therapy A or Therapy B, is more effective in improving respiratory health. A total of 180 bulls that are at least 12 years old will be randomly selected from ranches in the state of Texas. The researcher will get consent from all owners, treat the bulls for eight months and evaluate changes in respiratory health. Part A: How would the study benefit from adding a control group? (2 points) Part B: What is the best way to randomly place the bulls into the Therapy A, Therapy B, and control groups? (4 points) Part C: The researcher wants to use a blocking variable to place the bulls into groups instead of doing it randomly. He decides to block either by breed or ranch. Explain which would be the best blocking method. (4 points) Question 3 Scarlett is practicing math fluency. She has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards, and 2 multiplication cards. Scarlett will time herself to see how fast she can solve the problems on seven cards. She chooses her seven cards and they are all addition cards. Is choosing all addition cards likely? Explain by running a simulation. Part A: State the problem or question and assumptions. (2 points) Part B: Describe the process for one repetition, including posible outcomes, assigned representations, and measured variables. (3 points) Part C: Use digits from a table of random digits or use your calculator to perform one repetition. Submit the list of random digits and indicate those that represent addition cards. (3 points) Part D: Suppose there was one repetition when all seven cards were addition cards after 200 repetitions of the simulation. State your conclusions from these results