5.5 In the 1980s, Tennessee conducted an experiment in which kindergarten students were randomly assigned to "regular" and "small" classes and given standardized tests at the end of the year. (Regular classes contained approx- imately 24 students, and small classes contained approximately 15 students.) Suppose that, in the population, the standardized tests have a mean score of 925 points and a standard deviation of 75 points. Let Small Class denote a binary variable equal to 1 if the student is assigned to a small class and equal to 0 otherwise. A regression of TestScore on SmallClass yields TestScore = 918.0 + 13.9 x SmallClass, R2 = 0.01, SER = 74.6. (1.6) (2.5) a. Do small classes improve test scores? By how much? Is the effect large? Explain. b. Is the estimated effect of class size on test scores statistically signifi- cant? Carry out a test at the 5% level. Exercises 173 c. Construct a 99% confidence interval for the effect of SmallClass on Test Score