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  2. MATHEMATICAL TRIPOS Part III Friday, 3 June, 2011 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2011/paper_31.pdf
    30 Aug 2019: At the end of the experiment, all subjectswere again given the approach test. ... For hypothesis tests, state the null hypothesis, the result of the test andyour conclusion.
  3. MATHEMATICAL TRIPOS Part III Thursday, 7 June, 2012 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_41.pdf
    30 Aug 2019: A dentist wants to test a new method of filling teeth (Method B) against thestandard method (Method A). ... a) Comment briefly on whether the log-rank test captures all the relevantevidence in the study.
  4. MATHEMATICAL TRIPOS Part IA Thursday 30 May 2002 9.00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIA_1.pdf
    17 Jun 2019: State the alternatingseries test and prove it from the fundamental axiom. ... You may use any test for convergence provided you state it correctly.
  5. MATHEMATICAL TRIPOS Part IB Friday 7 June 2002 1.30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIB_4.pdf
    17 Jun 2019: x2. a2+. y2. b2+. z2. c2= 1. 3H Statistics. From each of 100 concrete mixes six sample blocks were taken and subjected tostrength tests, the number out of the six blocks ... No. x failing strength tests 0 1 2 3 4 5 6No.
  6. MATHEMATICAL TRIPOS Part III Thursday, 2 June, 2011 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2011/paper_32.pdf
    30 Aug 2019: Define the likelihoodratio test statistic Λn for this testing problem, and express it in terms of the maximumlikelihood estimator θ̂n. ... Define further the score statistic and the score test. How would you choose criticalvalues for the rejection
  7. MATHEMATICAL TRIPOS Part III Thursday, 3 June, 2010 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2010/Paper61.pdf
    30 Aug 2019: 2. 1. Consider a test particle orbiting a binary comprised of a star and planet of massesM and Mpl. ... ẋ′ = ẋ µα0.5(1 e2)0.5A sin nplt ,. ẏ′ = ẏ µα0.5(1 e2)0.5A cos nplt ,where µ =. MplM Mpl. and α =apla. Even though the test
  8. MATHEMATICAL TRIPOS Part III Thursday 6 June 2002 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2002/Paper46.pdf
    30 Aug 2019: Show that infinitesimal changes in the specific energyand specific angular momentum vector of a test particle, within the family of circularorbits, are related by. ... Two test particles are constrained to move on circular orbits in a spherically
  9. MATHEMATICAL TRIPOS Part IA Thursday 29 May 2008 9.00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2008/PaperIA_1.pdf
    21 Aug 2019: Paper 1. 3. 3F Analysis I. State the ratio test for the convergence of a series. ... tests for convergence, provided that they are clearly stated.].
  10. MATHEMATICAL TRIPOS Part IB Wednesday 7th June, 2006 1.30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperIB_2.pdf
    17 Jun 2019: It is desired to test the hypothesis H0 : θ 0 against thealternative H1 : θ > 0. ... Show that there is a uniformly most powerful test of size α = 1/20and identify a critical region for such a test in the case n = 9.
  11. MATHEMATICAL TRIPOS Part III Friday 6 June 2008 9.00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2008/Paper46.pdf
    30 Aug 2019: Between 2003 and 2007,the annual number of cocaine positives in Monday tests increased from 250 to 500.In 2007, 30% of the Monday cocaine-positive tests gave a maximum ... Could one construct a 5%-level test with 80% power, todetect statistically whether
  12. M. PHIL. IN STATISTICAL SCIENCE 9 am Monday 11 ...

    https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2001/Paper101.pdf
    19 Jun 2019: i) Write down clearly an appropriate model for the above design, and analyse it carefully.Test whether there is a difference between the 6 varieties. ... Interpret the results and test any assumptions (graphically and/or otherwise) made.Give possible
  13. M. PHIL. IN STATISTICAL SCIENCE 9am Tuesday 13 June ...

    https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2006/Paper102.pdf
    19 Jun 2019: Test the hypothesisthat premiums are not affected by the first two speeding convictions. ... i) Summarise the data using appropriate plots and tables. [3]. (ii) Use nonparametric methods to test whether or not the MRSA rates have changed.
  14. MATHEMATICAL TRIPOS Part IB Tuesday, 2 June, 2015 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperIB_1.pdf
    17 Jun 2019: For 0 < α < 1, derive the test that is most powerful among all tests of size atmost α. ... Obtain an expression for the power of your test in terms of the standard normaldistribution function Φ().
  15. MATHEMATICAL TRIPOS Part III Tuesday 3 June 2008 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2008/Paper41.pdf
    30 Aug 2019: library(MASS)> stepAIC(model1.lm,. scope = list(upper = wind maxtemp insol, lower=1), test="F"). ... Analysis 1:. > melanoma1.glm <- glm(propcases age city, binomial, weights = pop)> anova(melanoma1.glm, test="Chisq").
  16. MATHEMATICAL TRIPOS Part III Friday 30 May, 2003 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2003/Paper40.pdf
    30 Aug 2019: 2) Briefly explain the difference between the goals of a classical Sequential ProbabilityRatio Test and a CUSUM plot. ... iv) Write down tables with the observed and expected counts if association istested at the chromosome (haplotype) level instead of
  17. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics STUDY SKILLS IN ...

    https://www.maths.cam.ac.uk/undergrad/files/studyskills.pdf
    24 Sep 2019: test, the first task of which is to prove that all odd number are prime. ... Nowadays, the examinations are much more friendly, being de-signed to test your knowledge of the courses you have attended ratherthan your ability to jump through mathematical
  18. MATHEMATICAL TRIPOS Part III Wednesday 6 June 2007 9.00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2007/Paper69.pdf
    30 Aug 2019: Consider the case of a test particle orbiting very close to a planet with mass M.Let the gravitational potential consist of a monopole term and a quadrupole describingthe planet’s ... Find the radial and vertical frequencies of motion. Show that thethe
  19. Learning to use MATLAB for CATAM project work Version ...

    https://www.maths.cam.ac.uk/undergrad/catam/files/booklet.pdf
    16 Aug 2019: To test this enter. >> amatrix=printsquares(1,10);. >> amatrix. Note that we have used amatrix as the name of the matrix in which to store the output fromthe function printsquares; we ... 4.4 Exercises. 1. Test your function printsquares with m60 and m>n,
  20. MATHEMATICAL TRIPOS Part II Friday, 5 June, 2015 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperII_4.pdf
    17 Jun 2019: What are the hypothesis tests corresponding to the final column of the coefficientstable? ... What is the hypothesis test corresponding to the final line of the output?
  21. MATHEMATICAL TRIPOS Part III Thursday, 4 June, 2009 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper53.pdf
    30 Aug 2019: EPR pairs to serve as check bits to test for Eve’s. ... announces this fact.5: Alice selects n of the 2n encoded EPR pairs to serve as check bits to test for Eve’s.

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