A CEO is trying to decide whether or not to fire the HR director. The default decision is for the HR director to keep the job, but the CEO will fire the HR director if there is statistically significant evidence that less than 75% of the new employees at the company stay for more than a year. A sample of 300 new employees showed that 72% of the new employees in the sample stayed for more than a year. For each number in the problem, give the appropriate mathematical symbol associated with that number: 75% = 0.75 = What test statistic do you use? Hint: Give just one letter for your answer.

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12

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An 18-month-old child was admitted to the hospital after falling into a hot bath. Two weekslater, she was doing well and set to return home. Her mother noticed that the little girl askedfor a drink every time she saw one, and she often sucked on a wet washcloth. When thechild’s mother asked about this behavior, the nurses told her it was normal—they would notask a physician for permission to give the girl a drink. The nurses told the mother that herchild was doing well and that she should go home and get some sleep.When the mother returned early the next morning, she knew that something was verywrong with her child. The medical team was notified. They administered naloxone, a drugused to block the effects of opioids. They finally allowed the girl to have a drink, and she swallowed a liter of juice. The medical team determined that the girl should not be given anymore narcotics. They gave verbal orders.A nurse entered the girl’s room that afternoon with a syringe of methadone. The…

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How do you solve for b0?

10 Suppose that in a particular state a standardized test is given to all graduating se- niors. Let score denote a student's score on the test. Someone discovers that perfor- mance on the test is related to the size of the student's graduating high school class. The relationship is quadratic: score = 45.6+ .082 class .000147 class², where class is the number of students in the graduating class. (i) How do you literally interpret the value 45.6 in the equation? By itself, is it of much interest? Explain. (ii) From the equation, what is the optimal size of the graduating class (the size that maximizes the test score)? (Round your answer to the nearest integer.) What is the highest achievable test score? (iii) Sketch a graph that illustrates your solution in part (ii). (iv) Does it seem likely that score and class would have a deterministic relationship? That is, is it realistic to think that once you know the size of a student's graduating class you know, with certainty, his or her test…