# 1. Sampling is often preferred to surveying a population because

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1 1. Sampling is often preferred to surveying a population because A. Surveying a population can be very expensive. B. It can be physically impossible to find all the items in a population. C. Sample estimates can be very accurate. D. All of the above. 2. In a simple random sample: A. Every k th item is selected to be in the sample. B. Every item has a chance to be in the sample. C. Every item has the same chance to be in the sample D. Only 10 items are selected. 3. A random sample is best characterized as: A. N observations B. Randomly selected members of a population C. 30 or more observations D. Biased 4. Which of the following is a method of probability sampling? A. Simple random sampling B. Systematic sampling C. Stratified sampling D. All of the above 5. Which is the most expensive method to gather data? A. Sampling B. Collecting Published Data C. Survey D. Census 6. Sampling is often preferred to surveying a population because: A. Surveying a population can be very expensive. B. It can by physically impossible to find all the items in the population. C. Sample estimates can be very accurate. D. All of the above are reasons for sampling.

2 7. Name the Sampling method used in each: Bank: (A) Simple Random, (B) Systematic, (C) Cluster, (D) Stratified, (E) Non- Random, (F) Convenience, (G) Census, (H) Self- Selected ( aka Voluntary) a A research chooses the 10 best students from a math class in each of 6 grade levels. b A researcher chooses 10 students randomly from a math classroom in each of 6 grade levels. c An announcement for a survey is mentioned at a movie theater. Anyone who chooses to participate can. d A phone company uses a computer to choose customers for a satisfaction survey. 5% of each region are chosen randomly. e f Every fifth person to buy gasoline is asked about their automobile. Every student in the NWU Advantage program is selected to fill out a survey on their thoughts about the program. Administrators of the fire department are concerned about the possibility of implementing a new property tax to raise money needed to replace old equipment. They decide to check on public opinion by having a random sample of the city s population. Several plans for choosing the sample are proposed. Match each with the name of the Strategy (use the same bank at the top). g. The city has five property classifications: single family, apartments, condos, temporary housing (hotel/campground), and retail. Randomly select ten residents from each classification h. Each property owner has a 5-digit ID number. Use a random number table to choose 40. i. At the start of each week, survey every tenth person who arrives at the city park. j. Randomly select a housing classification and survey all people who live in that type. k. Have each firefighter survey 10 of his/her neighbors.

3 8. If we want to sample 8 people from a population of 64 and if we decide to use a systematic approach starting at the 7 th person, then the final sample would contain A. 7, 8, 9, 10, 11, 12, 13, 14 B. 7, 16, 23, 31, 39, 47, 55, 63 C. 7, 15, 23, 31, 39, 47, 55, 63 D. 8, 16, 24, 32, 40, 48, 56, What type of survey is used to measure the entire target population? A. Random sample B. Census C. Non- probability sample D. None of the above 10. Suppose the state decides to randomly test high school wrestlers for steroid use. There are 16 teams in the league, and each team has 20 wrestlers. State investigators plan to test 32 of these athletes by randomly choosing two wrestlers from each teach. Is this a SRS (simple random sample)? A) Yes, because the wrestlers were chosen at random. B) Yes, because each wrestler is equally likely to be chosen. C) Yes, because stratified samples are a type of SRS. D) No, because not all possible groups of 32 wrestlers could have been in the sample E) No, because a random sample of teams was not first chosen.

4 11. Given: 2015 Daytona 500 Final Practice Speed data. Use the previous page with random numbers to draw a random sample of 5 drivers. Find the mean of the sample. Clearly explain / show your work (process) in how you selected your random sample. Also show your work in getting the mean! Use the space below to do you work: Pos Car Driver Time Speed 1 11 Denny Hamlin Kasey Kahne Greg Biffle Sam Hornish Jr David Ragan Trevor Bayne Kyle Busch Ricky Stenhouse Jr Michael McDowell Aric Almirola Tony Stewart Carl Edwards Jeff Gordon Kevin Harvick Kyle Larson Clint Bowyer Matt Kenseth Martin Truex Jr Casey Mears Ty Dillon(i) Landon Cassill Ryan Newman Paul Menard Michael Annett Justin Allgaier Dale Earnhardt Jr David Gilliland Cole Whitt Jimmie Johnson Regan Smith(i) Jamie McMurray Austin Dillon Bobby Labonte Johnny Sauter(i) J.J. Yeley(i)

5 12. Given: 2015 Daytona 500 Final Practice Speed data. Use the page with random numbers to draw a random sample of 10 drivers. Find the mean of the sample. Briefly explain / show your work (process) in how you selected your random sample. Also show your work in getting the mean! 13. Which mean, #12 or #13 is likely to be a better approximation of the population mean? Explain your reasoning.

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