1. A researcher would like to evaluate the effect of a new reading program for second-grade students. Over the past five years, a standardized test given at the end of the second grade has produced a mean score of µ = 45. A sample of n = 25 students is placed in the new program and, at the end of the school year they obtain a mean test score of M = 51 with SS = 9600. Based on these data can the researcher conclude that the new program has a significant effect on reading scores? Set the alpha at α = .05.
Note: Calculate Cohen’s d and r2 regardless of the decision.