GRADED PROBLEM SET #1 Answer each of the following questions completely. When possible to answer using a complete sentence and offering explanation, please do so. There are a total of 20 points possible in the assignment. 1. [6 pts) Create a well-designed randomized experiment to determine whether taking vitamin B supplements helps memory. You have 100 people to use in the study and the study will take place over one month. Describe how you would implement the key factors of a well-designed randomized experiment. 2. (8 pts) In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. Listed below are some of the ideas proposed for gathering data. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result. a. Put a big ad in the newspaper asking people to log their opinions on the PTA website. b. Randomly select two of the elementary schools and contact every parent by phone. C. Send a survey home with every student, and have parents fill it out and return it the next day. Assume all parents submitted a survey. d. Randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. GRADED PROBLEM SET #1 Answer each of the following questions completely. When possible to answer using a complete sentence and offering explanation, please do so. There are a total of 20 points possible in the assignment. 1. [6 pts) Create a well-designed randomized experiment to determine whether taking vitamin B supplements helps memory. You have 100 people to use in the study and the study will take place over one month. Describe how you would implement the key factors of a well-designed randomized experiment. 2. (8 pts) In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. Listed below are some of the ideas proposed for gathering data. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result. a. Put a big ad in the newspaper asking people to log their opinions on the PTA website. b. Randomly select two of the elementary schools and contact every parent by phone. C. Send a survey home with every student, and have parents fill it out and return it the next day. Assume all parents submitted a survey. d. Randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week