Problem E3: Scientific Sampling (5 points) Imagine you are conducting a study on "student fear of crime" levels across a large university with 10 separate campuses. Each campus includes students from different academic colleges (i.e., Arts
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g., target margin of error, confidence level, total student population on all 10 campuses, and the number of colleges per campus). If not provided, state typical defaults (e.g., 95% CI, ±5%). Show more…
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1) An anthropology major believes the distribution of homes per city from the Anasazi Indians is normally distributed with a standard deviation of 12 homes. A random sample of 10 Anasazi cities shows an average of 46 homes. He wants an 85% confidence interval for the true overall average. 2) A history major suspects that Paris has more criminals today than it did in 1500. She learns that in 1500 there were 200 thousand people and a thousand criminals. Today there are 2.211 million people and 30 thousand criminals. She wonders if the difference is significant. 3) An international studies student has found 90 families where one sibling is living in the US and the other sibling is living in China. The average weight for the US siblings is 195 pounds with a standard deviation of 20 pounds. The average weight for the Chinese sibling is 180 pounds with a standard deviation of pounds. The standard deviation of the difference across siblings was pounds. She plans on writing a book discussing whether this is evidence that the American lifestyle is more fat than the Chinese lifestyle. 4) A psychology major wants to know how much money it would take before a person would do the Macarena in Prexy's Pasture. He randomly samples 20 people and gets an average of 530 with a standard deviation of 590. He wants to use a 93% confidence level. 5) A criminal justice major wants to know the average time a drug dealer spends in jail in Colorado. The mayor says it should be longer than 15 years. Assume the distribution is normal. A random sample of 10 convicted drug dealers has an average of 20 years with a standard deviation of years. The goal is to test the mayor's claim. 6) A theater and dance major wants to know if more women or men have seen ballet. He randomly samples 200 women and finds that 119 have seen ballet. He samples 200 men and finds that 49 have seen ballet. He wants to use a 10% significance test. 7) A communication major wants to know the average blood pressure for someone who is about to give a speech. He randomly samples 40 people before they give their speech and gets an average systolic blood pressure.
Amman Z.
The registrar of the university with the population of N = 4,000 full-time students is asked by the president to conduct a survey satisfaction with quality of life on campus. The following table contains a breakdown of 4,000 registered full-time students by gender and class designation: Class Designation Gender Fr. Soph. Jr. Sr. Total Female 700 520 500 480 2200 Male 560 460 400 380 1800 Total 1,260 980 900 860 4000 The registrar intends to take a probability sample of n = 200 students and project the results from the sample to the entire population of full-time students. a) If the frame available from the registrar’s files is an alphabetical list of the names of N= 4000 registered students, what type of sample could you take? b) What is the advantage and disadvantage of selecting a simple random sample in (a)? c) What is the advantage and disadvantage of systemic sample in (a)? d) If the frame available from the registrar’s files is a list of the names of all N = 4,000 students compiled from eight separate alphabetical lists, based on the gender and class designation breakdowns shown in the above table, what type of sample should you take? Why? e) Suppose that each of the N = 4,000 students lives in one of the 10 campus dormitories. Each dormitory accommodates 400 students. It is the college policy to fully integrate students by gender and class designation in each dormitory. If the registrar is able to compile a listing of all students by dormitory, explain how you could take a cluster.
Kari H.
(15 points) Suppose you wanted to investigate the effect of campus crime rates on student enrollment across a sample of colleges from 1992. • (5) Name some (qualitative) considerations you would want to research before deciding whether your analysis of these two time periods provides answers for colleges in 2020.
Nicole S.
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