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. 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 Testing Method Sample Size Mean Std. Dev.
Computer 91 491.27 sec. 54.85 sec.
Conventional 91 478.28 sec. 35.97 sec.
Unfortunately, your analysis minion has taken the morning o↵ , so you must analyze the data yourself.
(a) Construct a 95% confidence interval for the standard deviation of the scores for students taking the test via computer.
(b) Construct a 95% confidence interval for the standard deviation of the scores for students taking the test via conventional methods.