MATH 142 University of San Francisco Properties of Chi Square Distribution Questions

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MATH 142

University of San Francisco

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I need help with my six questions stats homework! Let me know if you can do it in a couple of hours it’s due in 7 hours. And it’s not long

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Math 142 Classwork 11.1 and 3 Name: 1) Select the properties of Chi-square distribution. a) Bell shape/ non-symmetric right skewed. b) Always positive / Positive and negative. c) There is only one Chi-square distribution. There are many chi-square distributions depending on df. d) Mean of chi-square distribution is n-1/ Mean of chi-square distribution is 0 2) Use Chi-square distribution http://onlinestatbook.com/2/calculators/chi_square_prob.html to find the probability. Assume degree of freedom = 14, P(x2 > 18) = 3) The Contingency table below summarizes treatment outcome after one month when subjects use different methods to quit smoking. Nicotine Nicotine Nicotine Gum Patch Inhaler 191 263 95 59 57 27 smoking not smoking a) Use a significant level of 0.05 to test that treatment outcomes are independent of the type of treatement. Write H0 and Ha. Which statement is the claim? b) Find the degree of freedom, test statistic and p-value. c) Write conclusion about HO. d) Write conclusion about the claim. e) Are all expected counts at least 5? f) Based on the above result, is one of the stop smoking aids better than others or they are the same? 4) Alert nurses at the Veteran's Affairs Medical Center in Northampton, Massachusetts, noticed an unusually high number of deaths at times when another nurse, Kristen Gilbert, was working. The nurse was eventually arrested and charged with four counts of murder and two counts of attempted murder. When seeking a grand jury indictment, prosecutors provide the following table as a key piece of evidence: Shifts with a death Shifts wihout a death working 40 217 Not working 34 1350 a) Use a 0.01 significant level to test the defense claim that deaths on shifts are independent of whether Gilbert was working. Write HO, Ha, find degree of freedom, test statistic and p-value. b) Make conclusion about H0 and claim. c) Is there enough statistical evidence to conclude that the nurse is a serial killer because the death rate is dependent on the shift of the nurse. d) Check expected counts are at least 5. 5) 500 adults in United States are questioned about their political affiliation and opinion on tax reform bill. At a 5% significant level, test the claim that opinion on a tax reform bill are dependent on political affiliation. favor indifferent opposed democrats 138 83 64 Repubican 64 67 84 a) Conduct a test of independence between political affiliation and opinion of a tax reform bill. b) Write the conclusion about H0 and claim. c) Are the expected counts at least 5? 6) The U.S. supreme Court considered a case involving an exam for firefighter lieutenant in the city of New Haven, Connecticut. Results from the exam are shown in the table below. Are there sufficient evidences to support the claim that results from the test should be thrown out because they are discriminatory? Use a 0.05 significant level. Passed Failed white candidates 17 16 Minority candidates 25 49 a) Conduct a test of homogeneity to test the claim that chance of passing the exam are different for white and minority candidates. Write HO, Ha. Find test statistic, p-value and degree of freedom. b) Write the conclusion about H0 and about the claim. c) Can we conclude the Exam is discriminatory so should be thrown out? d) Will the conclusion be the same if a is 0.1?
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