Sam wants to determine the average income for the 1650 employees at his office. He decides to survey 100 random employees. For this scenario, describe the population, variable, sample, data, statistic, and parameter. 2. Use a random number table to obtain a sample of 16 students out of 526 students taking college algebra. Begin in row 10, column 31 - 33. 3. The 360 members of a population have been divided into clusters of equal size 18. Use cluster sampling to obtain sample size of 72 from the population. To obtain cluster number, use random number table. Begin in row 8 column 14 - 15. 4. The Primerose School was divided into 6 grades (kindergarten through 5th) and a proportionally representative random sample from each grade was asked their favorite ice cream flavor. What kind of sampling did this scenario describe? 5. A large firm is interested in the effect of soda consumption on worker productivity. Over the course of the year, the firm randomly samples 300 sites and records the amount of soda consumed by each worker and the quantity of items produced on that day. Is this an experiment or an observational study? 6. A farmer is interested in the relationship between soil type and germination time for kidney beans. The study gets sample seed from multiple sources and randomly selects 280 seeds from them. Then he sets up four growing stations, one with clay, one with peat, one with sand and one with loam. He divides the seed into four groups of 70 and plants the seeds from each group in the growing stations. He records the germination time for each seed. Is this an observational study or an experiment? If it is an experiment, what is the controlled factor? 7. A farmer wants to get an idea of how many bruised pears he has in each box out of the 600 boxes he has in his storage. He lifts the lid of 9 boxes and examine the pears on top. Is this sample style biased or unbiased? 8. A math professor teaches two section (05 and 99V) of Statistics at Raritan Valley Community College. The population of section 05 is 34 students on the average because it is taught on campus in the morning. Section 99V is taught online and has a population of 22 students on average every semester. Students in Section 05 volunteer more to mentor high school children wanting to major in math than students in Section 99V. Is there a problem with this logic? Explain. Page 1 of 2 RVCC Statistics I Homework 9. The members of a housing board of directors have the following roles: President of the Board (P), Vice President of the Board (V), Secretary of the board (S), Treasurer of the board (T) and Development project leader (L). Consider these board members to be a population of interest. The possible samples (without replacement) of size two that can be obtained from these five board members are as follows. P,V P,S P,T P,L V,S V,T V,L S,T S,L T,L If a simple random sampling method is used to obtain a sample of two of the board members, what are the chances of selecting the President and the treasurer? 10. From a group of 596 employees, every 59th employee starting with the 7th employee is selected. Identify the type of sampling used in this example