I nood zed Problem Set #2 orbadcolli November 10. This problem set covers Chapters 5 - 8 of your text and is due at the start of class on Thursday, Please write neatly and show all your work where applicable so that I can give you partial credit! Don't try to squeeze your answers into the spaces provided on this handout. Use separate sheets of paper. 1. You've developed a new aptitude test, which you've named the Scholastic Math And Reading Test (SMART). You gave your test to a population of consisting of all the high school seniors in a small rural community. This population had a mean of 77.25 and a standard deviation 12.81. 6 nova. One student took the SMART and received an 87. Calculate her z-score. (Report to two decimal places.) b. You'd like to be able to compare scores on the SMART with another standardized aptitude tests--the ACT. In order to do this, we need to transform the SMART distribution so that it has the same mean and standard deviation as the ACT. The ACT has a mean of 20 and standard deviation of 5. If a student scored an 87 on the SMART, what would her score be in the new, transformed distribution? (Report to one decimal place.) 6. Stat 530 C. Suppose we transformed the ACT so that it had the same mean and standard deviation as the SMART. A 30 on the ACT is comparable to what score on the SMART? (Report to two decimal places.) d. Which score is better: an 18 on the ACT or a 70 on the SMART? Explain how you got your answer. 2. The following table summarizes the number of individuals that that were offered special assistance in three areas by a community agency: Drugs/Alcohol 10 Family crisis counseling 20 Other 20 a. If you were to select someone at random from the records for last year, what is the probability that the person would be in the "drugs/alcohol" category? (Please respond in decimal form.) b. If you were to select someone at random from the records for last year, what is the probability that the person would NOT be in the "Other" category? (Please respond in decimal form.)