A researcher is interested in comparing two teaching methods for slow learners. In particular, the researcher wants to determine if a new method of teaching is better (gives higher scores) than the standard method currently used. Type I error rate is set at alpha=0.05. Ten slow learners are taught by the new method and 12 by the standard method. The results of a test at the end of the semester are given below (assume that the normal distribution with equal variances assumptions are satisfied)
Test scores (new method): 80, 76, 70, 80, 66,85, 79,71,81,76. Test scores (standard method): 79,73,72,62, 76, 68, 70, 86,75, 68, 73,66. What is the appropriate research hypothesis? (assume mu_1 = true mean of all scores under new method, and mu_2=true mean of all scores under standard method) - sample mean scores of the new method is higher than that of the standard method - mu_1 - mu_2 is "not equal to zero - mu_1 - mu 2 > 0 - mu_1-mu 2 < 0
