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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.

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.

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.

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.

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

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

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

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.].

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.

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