A researcher would like to evaluate the effect of a new reading program for second- grade students. For the past five years, a standardized test given at the end of second grade has produced a mean score of u = 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? Use a twotailed test with or = .05. a. Using symbols, state the hypotheses for this test. b. Locate the critical region for or = .05. c. Calculate the t statistic for this sample. d. What decision should the researcher make about the null hypothesis m what should the researcher conclude about the new reading program? e. Compute Cohen's d m r2 to measure the size of the effect