Login to the computer, open a web browser and go to artofstat.com. QUESTION: Approximately 50% of all babies born are girls. But sometimes, in any given week, 60% of new babies in an entire county are girls. Where is this more likely to happen? To answer this question, study the Sampling Distribution of p, and see how the values of n and p affect the distribution. The TA will play a very short introductory video for this activity. THEORY: Sampling Distribution of approx DATA: Hint: Look in your notes! ) IF. AND (1.66 pt) To explore the Sampling Distribution of we need to simulate thousands of samples of various sizes from a population with known p. You will do this using the Web App in artofstat.com named Sampling Distribution for the Sample Proportion. ANALYSIS: 1. What happens as p changes? First, you will analyze the Sampling Distribution of > for a particular combination of n and p. Your value of p is your seat number divided by 10 (seat number 7 uses p=0.7). The TA will let you know what value of n to use. Under "Select how many samples (of size n) you want to simulate drawing from the population" choose the biggest number of samples available (10,000). Write down your values of n=_p=_ a. (1 pt) According to the bottom graph, what are the mean and standard deviation of the Sampling Distribution of computed from the simulation? Mean: _ Stdev: b. (1 pt) According to the theory, what are the values of the mean and standard deviation of the Sampling Distribution of p for this case? Mean: Stdev: c. (0.33 pt) Does the distribution look approximately bell shape and symmetric? d. (1 pt) Go around the table with your group and notice what happens to the Sampling Distribution of pas p goes from 0.1 to 0.9. (NOTE: If the app disconnects you can still see the graphs, just don't touch anything or you will have to start over!) What happens to its: Shape? Mean? Stdev? 2. What happens as n changes? Now, you will use a value of p given to you by the TA and your value of n is your seat number multiplied by 10 (seat number is 7 uses n=70). Under "Select how many samples (of size n) you want to simulate drawing from the population" choose the biggest number of samples available (10,000). Write down your values of n= __p=_ a. (1 pt) According to the bottom graph, what are the mean and standard deviation of the Sampling Distribution of p computed from the simulation? Mean: Stdev: b. (1 pt) According to the theory, what are the values of the mean and standard deviation of the Sampling Distribution of for this case? Mean: Stdev: c. (0.33 pt) Does the distribution look approximately bell shape and symmetric?