The SAT Reasoning Test is an exam taken by most high school students as part of their college admission requirements. A proposal has been made to alter the exam by having the students take the exam on a computer. The exam questions would be selected for the student in the following fashion. For a given section of questions, if the student answers the initial questions posed correctly, then the following questions become increasingly difficult. If the student provides incorrect answers for the initial questions asked in a given section, then the level of difficulty of latter questions does not increase. The final score on the exams will be standardized to take into account the overall difficulty of the questions on each exam. The testing agency wants to compare the scores obtained using the new method of administering the exam to the scores using the current method. A group of 182 high school students is randomly selected to participate in the study with 91 students randomly assigned to each of the two methods of administering the exam. The data are summarized in the following table and boxplots for the math portion of the exam.
Evaluate the two methods of administering the SAT exam. Provide tests of hypotheses and confidence intervals. Are the means and standard deviations of scores for the two methods equivalent? Justify your answer using α = .05.
Answer to relevant QuestionsUse the results of the simulation study summarized in Table 7.4 to answer the following questions. a. Which of skewness or heavy-tailedness appears to have the stronger effect on the F tests? b. For a given population ...A pharmaceutical company manufactures a particular brand of antihistamine tablets. In the quality control division, certain tests are routinely performed to determine whether the product being manufactured meets specific ...Refer to Exercise 6.59. The company officials decided to use the separate-variance t test in deciding whether the mean potency of the drug after 1 year of storage was different from the mean potency of the drug from current ...A production process for filling orange juice containers labeled as 64 ounces is monitored for the actual amount of juice in the container. The process is designed such that the amount of juice in the containers has a normal ...Refer to Example 8.6. In example a. Do the data indicate that the populations are not normally distributed? b. Do the transformed data appear to have a normal distribution? c. Does a transformation that produces data ...
Post your question