SE XXXXXXXXXX To illustrate a sampling distribution of sample proportions you will do a dice rolling exercise. 1. Roll the die twenty (20) times and record each of your rolls. 2. Circle the even...

I'll attach the 2 worksheets.


SE007919102215022 To illustrate a sampling distribution of sample proportions you will do a dice rolling exercise. 1. Roll the die twenty (20) times and record each of your rolls. 2. Circle the even numbers you rolled and count them. Record this value for x1. 3. Divide this number by twenty to determine the proportion of even rolls in your sample of twenty. Record this proportion as p̂1. 4. Repeat the entire exercise to get a second sample proportion of even rolls. X = ______________________________________________________________ Y = ______________________________________________________________ Sample 1Sample 2 x1 = _________ x2 = ______ p̂1 = _________ p̂2 = ______ NAME: _________________________________________________ Worksheet #1 Due ________________________ 1. For each of the following variables, decide whether it is qualitative (L) or quantitative (N). ______ a. number of wheels on a vehicle ______ c. a person’s favorite color ______ b. county a person lives in ______ d. distance a person drives to work -------------------------------------------------------------------------------------------------------------------------------------------------- 2. For each of the following quantitative variables, decide whether it is discrete (D) or continuous (C). ______ a. number of marbles in a jar ______ c. weight of a baby at birth ______ b. number of hours a phone battery lasts ______ d. number of TV’s in a household -------------------------------------------------------------------------------------------------------------------------------------------------- 3. A shipment of 2000 tire pressure gauges arrives at an automotive company warehouse. Fifty of the tire gauges are randomly selected from various parts of the shipment and the percent of those that are defective is determined. If this percentage is greater than 5%, the shipment is sent back. Which of the following is the population of interest for this example? a. all tire pressure gauges c. the 2000 tire gauges in the shipment b. the 50 randomly selected tire gaugesd. 5% of the tire gauges in the shipment Which of the following is the sample for this example? a. all tire pressure gauges c. the 2000 tire gauges in the shipment b. the 50 randomly selected tire gaugesd. 5% of the tire gauges in the shipment If 4 of the 50 randomly selected tire gauges are found to be defective, what percentage is that? Show work. a. 4% c. 8% b. 12.5% d. 0.08% The percentage in the previous question is a _____________ . a. parameterb. statistic Would the shipment be returned? a. Yes, because more than 5% of the 50 tire pressure gauges were defective. b. No, because less than 5% of the 50 tire pressure gauges were defective. c. Unable to be determined because they didn’t check the whole shipment. -------------------------------------------------------------------------------------------------------------------------------------------------- 4. Decide in each of the following cases whether it is an example of an observational study (O) or an experiment (E). ______ a. Does attending an SAT preparation course improve scores? A comparison is done of the math SAT scores between students who attend a 6 week preparation course and those who do not. ______ b. Is there a significant difference in the SAT scores of students who are right-handed as opposed to those who are left-handed? A comparison is done of the math SAT scores between students who are right-handed and those who are left-handed. 5. From the numbered list of South Carolina counties given below, you must select a sample of 6 of them using the string of random digits shown below. Move across that row two digits at a time (since 46 is a two-digit number) clearly showing your work. Your answer should include the names and numbers of the counties selected for your sample, in the order you choose them. 1. Abbeville13. Chesterfield25. Hampton36. Newberry 2. Aiken14. Clarendon26. Horry37. Oconee 3. Allendale15. Colleton27. Jasper38. Orangeburg 4. Anderson16. Darlington28. Kershaw39. Pickens 5. Bamberg17. Dillon29. Lancaster40. Richland 6. Barnwell18. Dorchester30. Laurens41. Saluda 7. Beaufort19. Edgefield 31. Lee42. Spartanburg 8. Berkeley20. Fairfield32. Lexington43. Sumter 9. Calhoun21. Florence33. McCormick44. Union 10. Charleston22. Georgetown34. Marion45. Williamsburg 11. Cherokee23. Greenville35. Marlboro46. York 12. Chester24. Greenwood 1 8 6 2 0 3 5 8 4 9 2 7 3 9 4 4 8 2 3 6 3 3 5 0 9 5 2 9 7 8 no. name 1. _____ ____________________________________ 2. _____ ____________________________________ 3. _____ ____________________________________ 4. _____ ____________________________________ 5. _____ ____________________________________ 6. _____ ____________________________________ --------------------------------------------------------------------------------------------------------------------------------------- 6. IN AN EXPERIMENT, THERE ARE FOUR CHARACTERISTICS THAT SHOULD BE PRESENT. EACH IS LISTED BELOW. MATCH THEM WITH THEIR DEFINITIONS. a. controlb. randomizationc. replicationd. double-blindness ______ How are the subjects assigned to their treatment groups? This assignment must be truly random, something akin to drawing names out of a hat. ______ There must be a group with whom the experimenter can compare the group that is receiving the treatment of interest. This comparison group usually receives the ‘old, tried-and-true’ treatment or receives no treatment at all in the form of a placebo. ______ In an experiment with human subjects, neither the subjects nor the experimenter should know who receives what treatment until the end of the experiment. This usually requires the use of an impartial third party. ______ If the experiment were repeated under similar conditions, would the results be similar? This is ensured by either repeating the experiment to compare the results or by using a large sample the first time in order to get reliable results. 7. Below are the recorded speeds of cars on a road with a 50 mph speed