Name: Date:1C Strict Parents S-IC.A.1 Types of studies 1. Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as "strict". They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of Date: (let students. a. Describe the parameter of interest and a statistic the students could use to estimate the parameter. b. Is the best design for this study a sample survey, an experiment, or an observational study? Explain illcance your reasoning. am about c. The students quickly realized that, as there is no definition of "strict", they could not simply ask a ..y the number 1 Scien student, "Are your parents or guardians strict?" Write three questions that could provide objective data related to strictness. rai- d. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in part (a) above. 2. From a class containing 12 girls and 10 boys, three students are to be selected to serve on a school advisory panel. Here are four different methods of making the selection. I. Select the first three names on the class roll. II. Select the first three students who volunteer. Ill. Place the names of the 22 students in a hat, mix them thoroughly, and select three names from the mix. IV. Select the first three students who show up for class tomorrow. Which is the best sampling method, among these four, if you want the school panel to represent a fair and representative view of the opinions of your class. Explain the weaknesses of the three you did not select as the best