C. Based on your answer in part (b), is it easier to reject the null hypothesis with a one - sided or a two-sided hypothesis test? 29. More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programmes. GMAT scores have a mean of a = 525 with a standard deviation of o = 100. Consider a particular rigorous training programme designed to raise students' GMAT scores.z Assume that the standard deviation of scores for students who take this training programme is also 100 . Based on a random n sample of 100 students who take this training programme, test the following hypotheses: H : u = 525 H : u > 5 a. 7 = 541.4. Suppose the average score in the sample is At a 5% significance level, does b. this provide evidence that the programme increases scores, 541.5. Suppose instead that the average score in the sample is At a 5% significance C. level, does this provide evidence that the programme increases scores? Is there any meaningful difference between these two sample means in part (a) and (b)? Q10. Masicampo and Lalande (2012) collected 3,627 published p-values from three major psychology journals. The distribution of these p-values is shown below .3 250 200 Frequency 159 100 50 0.04 0.08 0.08 There is a clear jump in the frequency of p-values at around 0.05. Why do you think that is? Question and date from Moore et al. "The Practice of Business for Economics and Statistics : Masicampo, E. J., and Daniel R. Lalande. "A peculiar prevalence of p values just below. 05." Quarterly journal of experimental psychology 65.11 (2012 ): 2271 -2279 Graph produced by Larry Wasserman: http::/ormaldeviate.wordpress.com/2012/08/16/p-values-gone-wild- and -multiscale -madness /