For each item, 50% of the grade will be from showing your work and 50% of your grade will be from having a correct answer. Each item is worth 20 points. 1. From 6.1D: During our research on the experiences of students during the COVID19 pandemic, we have seen that 46% of students with emotional or mental health disorders experienced the loss or reduction of income from other family members. If we take a random sample of n = 100 students and calculate the proportion of the sample who experienced the loss or reduction of income from other family members, what is the standard error of the distribution? Be sure to Show your work. Use this formula: 33(1 I3) Tl. 2. From 6.1D. Let's say that we take random samples of size n = 500 from Augsburg students and also nd that 14.6% have studied abroad. Next, we take a random sample size of n = 1000 from Augsburg students and get the same result (14.6% have studied abroad). Be sure to answer both questions: What are the two standard errors? What is the effect of the larger sample size on the standard error? Use this formula: 33(1 l3) Tl