Page 1 of 3 Quiz 3 Stat 200 (Clary) (6382, 2152) Instructions: Record your answers and work in the space below each problem. Be sure to record the final answer next to \"Answer\" and show all your calculation steps or assumptions under \"Work.\" You can type in your calculations, use the equation tool, or insert images of your handwritten calculations. If you have a tablet with a stylus, it may even be possible to write directly into the table cell. Whatever you do, make sure it is clear and neat. Thanks. Remember to add your last and first name to the end of the file name and upload your answers here (e.g., FILENAME.LASTNAME.FIRSTNAME.docx) before submitting. Problem Number #1 (4 pts) Problem and Solution You were interested in how long the average psychology major at UMUC studies per night, so you asked 10 psychology majors to tell you the amount they study, in hours. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4. (a) Find the 95% confidence interval on the population mean (b) Find the 90% confidence interval on the population mean. For both (a) and (b), please use the formula for the population standard deviation Answer: Work: #2 (4 pts ) A significance test is performed and p = .20. Why can't the experimenter claim that the probability that the null hypothesis is true is .20? Page 2 of 3 Answer: Work: #3 (4 pts) You have 7 means, and you want to compare each mean to every other mean. (a) How many tests total are you going to compute? (b) What would be the chance of making at least one Type I error if the Type I error for each test was .05 and the tests were independent? (c) Do you think the chance of making at least one Type 1 error when comparing these 7 tests is high or low? Explain your answer. Answer: Work: #4 (4 pts) How do you decide whether to use an independent t-test or a dependent (or correlated) ttest? Answer: Work: Page 3 of 3 #5 (4 pts) Arizona State University conducted a study of whether running is healthy for men and women over age 60. During the first five years of the study, 1.5% of the 451 members of the 60-Plus Fitness Association died. We are interested in the proportion of people over 60 who ran and died in the same five-year period. a. Define the random variables X and P in words. b. Which distribution should you use for this problem? Explain. c. Construct a 97% confidence interval for the population proportion of people over 60 who ran and died in the same five-year period. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. d. Explain what a \"97% confidence interval\" means for this study Answer: Work