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Material Type: Exam; Professor: Edgeman; Class: Statistical Methods; Subject: Statistics; University: University of Idaho; Term: Summer 2007;
Typology: Exams
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I pledge on my honor that I have not given or received any unauthorized assistance on this examination. ____________________________ ______________________________ Signature Date The following story from the 18 July 2006 edition of the Seattle Post-Intelligencer will provide a backdrop for the entire exam. Please read this before proceeding with the exam. Tuesday, July 18, 2006 · Last updated 8:00 p.m. PT
By SAM HANANEL, ASSOCIATED PRESS WRITER WASHINGTON -- Meth abuse continues to fuel an increase in crimes like robbery and assault, straining the workload of local police forces despite a drop in the number of meth lab seizures, according to a survey Tuesday. Nearly half of county law enforcement officials consider methamphetamine their primary drug problem, more than cocaine, marijuana and heroin combined, the survey of the National Association of Counties found. "Abuse of this highly addictive brain-altering drug continues to destroy lives and strain essential county services across America," said Bill Hansell, the association's president and commissioner of Umatilla County, Ore. The survey of 500 county law enforcement officials in 44 states showed that about half reported a decrease in the number of meth lab busts as a result of laws that restrict the sale of cold medicines with precursor ingredients used in the manufacture of meth. That's consistent with federal figures released last month showing a 30 percent drop in the number of labs seized nationwide. But county officials said supply of the drug remains high from superlabs in California and Mexico. About half the counties reported that one in five inmates are jailed because of meth-related crimes like robberies and burglaries. Another 17 percent of counties reported that one in two inmates are incarcerated for meth-related activity. Hansell called on Congress to develop a comprehensive strategy to deal with the meth problem that includes more funding for anti-drug task forces, drug prevention campaigns, treatment programs and cleanup of toxic chemicals used to make meth. Last month, the White House drug-policy office set a goal to cut meth use by 15 percent over the next three years and increase seizures of meth labs by 25 percent. Hansell also urged federal lawmakers to reject a Bush administration proposal to eliminate the Justice Assistance Grant program, which funds drug task forces around the country. That call was echoed by local law enforcement officials at a news conference to announce the survey. "It makes absolutely no sense to fight a war on drugs, then reduce the funding when you're in the midst of battle," said Oklahoma County Sheriff John Whetsel. About 1,000 of the 2,800 inmates in the Oklahoma County jail are incarcerated for meth-related crimes, he said. Statistics 251-Summer 2007 - Examination One A pouch containing crystalized methamphetamine and a homemade pipe are shown March 21, 2006 in Window Rock, Ariz. A survey says Meth abuse continues to fuel an increase in crimes like robbery and assault. (AP Photo/Matt York, FILE)
The survey, taken at the end of June, is based on a random sample of sheriffs or police chiefs in 500 of the nation's 3,066 counties. The association does not reveal the identity of the counties because it would discourage them from responding freely, said Jacqueline Byers, NACo's director of research. On the Net: National Association of Counties: http://www.naco.org
enacted stronger laws related to meth-production, distribution, and use than has Idaho. This has led some meth-labs formerly in Washington and Oregon to relocate to Idaho. Advocates of tougher meth laws believe that as a result of this Idaho may have a higher proportion of meth- related crimes than do Washington and Oregon. A random sample of 1,000 crime reports gave the following results. STATE
Idaho 100 150 250 Washington 105 245 350 Oregon 120 280 400
If a crime report is randomly selected from this sample of 1,000 reports then:
**1. What is the probability that the report is from Idaho? (4 points) _______________
burden on the social system per meth-addict” ( CALL THIS “ X ” ) is approximately normally distributed with a mean of $200K and a standard deviation of $50K. Then, for a randomly selected meth-addict:
**15. What is the probability that X will be at most $150K? (5 points) _______________
hospitalized or otherwise institutionalized. Suppose that the number of incarcerations, hospitalizations or other institutionalizations over the period 1995 to 2005 (call these values “X”) for each of 20 randomly sampled meth-addicts are as follows: 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 13, 37 for which we have ∑Xi = 140 and ∑Xi^2 = 2,
19. What are the mean, variance, and standard deviation of X? Be sure to include the proper units of measure (6 points – 2pts each).
20. Using the empirical rule we should have approximately (3 points – 1 pt. per pair): 68% of values between: __________ and __________ 95% of values between: __________ and __________ 99% of values between: __________ and __________ Statistics 251-Summer 2007 - Examination One
21. Use the information from questions 19 and 20 to discuss the concepts of “address”, “variation”, “shape” and “whether or not there are any unusual values” among the 20 **observations (3 points)