In: Statistics and Probability
Babcock and Marks (2010) reviewed survey data from 2003-2005, and obtained an average of u = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average has changed in the past 10 years, a researcher selected a sample of n = 64 of today’s college students and obtained an average of M = 12.5 hours. If the standard deviation for the distribution is σ = 4.8 hours per week, does this sample indicate a significant change in the number of hours spent studying? Use a two-tail test with alpha = .05. List, number, state, and clearly show all 4 steps of the hypothesis test. For step 2, state alpha and describe the critical regions of the test statistic distribution. Step 4 must also answer the question posed in the problem. Clearly show all calculations steps to get answers including formulas needed to solve this problem. Answers must be typed or word processed.