STAT200 Week 1 Homework There are two ways to submit your homework: You can type your answers and basic steps of solution (if required) in the provided boxes or you can print this form, complete it with your handwriting and then scan or take a picture with your cell phone camera. Image should be clear and easy to read. If the problem has \"Show work\" box and you leave it empty, you will not receive full credit for that problem. When the homework is completed submit it as an attached file using link in Assignments section Problem 1. Use meaning of notation and compute X, X2, (X)2 for the set of numbers: 1, 2, 4, 16. Answers X = X2= (X)2 = Show work Problem 2. Here is the description of Teacher Ratings Case Study: Subjects were randomly assigned to one of two conditions. Before viewing the lecture, students were given a summary of the instructors' prior teaching evaluations. There were two conditions: Charismatic instructor and Punitive instructor. Then all subjects watched the same twenty-minute lecture given by the exact same lecturer. Following the lecture, subjects answered three questions about the leadership qualities of the lecturer. A summary rating score was computed and used as the variable "rating" here. Based on this description, what is the independent variable in this study? Answer Problem 3. A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Jose. The first house in the neighborhood around the park was selected randomly and then every eighth house in the neighborhood around the park was interviewed. The sampling method was (select the correct answer: Possible answer s simple random systematic stratified cluster Problem 4. Identify the type of data (quantitative discrete, quantitative continuous or qualitative/nominal type) Data Type number of tickets sold percent of body fat favorite baseball team time in line to buy groceries number of students enrolled most-watched television show Problem 5. Fifty part-time students were asked how many courses they were taking this term. The incomplete results are shown below: Number of courses 1 2 3 Frequency 30 15 Relative Frequency 0.6 Cumulative Relative Frequency a. Fill in blanks in the table. b. What percent of students take exactly two courses? Answer c. What percent of students take one or two courses?