1. Define the standard error of a statistic, including what it refers to and what it measures (2 points) 2. The\"Conceptual Frameworks\" section of the course focused on two main concepts: sampling distributions and null hypothesis significance testing (6 points) a. In no more than two sentences, describe the sampling problem b. Inno more than six sentences, generally explain what a sampling distribution is, what NHST is, and how together these concepts help us deal with the sampling problem 3. Inlecture, we discussed the idea that hypothesis testing involved balancing the minimization of Type | error and maximizing the power of statistical tests (8 points) a. Fillin the table below with the appropriate names and statistical symbols the represent the probabilities of each outcome Actual Situation (Reality) Hq is TRUE Hq is FALSE Reject H, Fail to Test Decision Reject Ho b. Draw and label a graphical diagram that visualizes these relationships c. Describe what factor(s), if any, affect the probability of making a Type | or Type 2 error, respectively. In doing so, explain how the factor(s) impact the null and alternative distributions 4. Suppose a principal at a school claims that their students are of above average intelligence compared to the general population of students in the province. To test their hypothesis, the principal randomly samples 47 students from their school and administers the SMART Exam, which ranges in scores from O to 80. In his sample he observed a mean score of 61. Historically, the average score for students on the SMART Exam has been a 54, with a standard deviation of 18.5. Is there sufficient statistical evidence to support the principal's claim if o =.017? (10 points) State the population distribution(s) State the appropriate statistical hypotheses State the assumption(s) of the test Identify the test statistic and deduce the appropriate null distribution (i.e., if-then link) Specify alpha, set up null distribution, and choose a decision rule Run the test and make a decision Provide a brief APA-style write up of the statistical test that includes all relevant additional @ "o a0 oo test estimates 5. Suppose you were interested in determining whether there is difference between Criminology and Psychology majors, with respect to their statistical ability. As such, you administer a test of statistical reasoning to random samples of 15 students from each major, and obtain the scores given in the data set below. Using o =.05, conduct the appropriate statistical test to evaluate your research question (10 points) State the population distribution(s) Psychology | Criminology State the appropriate statistical hypotheses State the assumption(s) of the test Identify the test statistic and deduce the null distribution (i.e., if-then link) Specify alpha, set up null distribution, and choose a decision rule Calculate descriptives Run the test and make a decision Provide a brief APA-style write up of the statistical test that includes all relevant additional test estimates a0 oo Ta o 6. Imagine now you want to compare Psychology, Criminology, and Sociology majors with respect to their statistical ability. State which statistical test you would use to compare these groups and briefly explain why your choice of statistical test is the most appropriate (3 points)