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30 Apr 2024: In particular, in the case of applicants from groupsthat are currently under-represented at Cambridge1, or those who have had to overcome significanteducational disruption and/or socio-economic disadvantage, some Colleges2

27 Jun 2024: a) Using a function of 1nn. i=1 Xi, give a test of the above hypothesis, and findits properties under the null and alternative hypotheses. ... d) Give a short discussion of the advantages and disadvantages of your threeproposed tests in (a)-(c).

31 Jul 2023: A primality test is an algorithm used to determine whether or not a given integer is prime.In this project we consider several different primality tests, and apply them to numbers ... N. Question 1 Write a program to test for primality using trial

29 May 2024: Public key fingerprints for Maths machines. Hosts should normally have 2 fingerprints for use with SSH-2 (with RSA and DSA authentication). We no longer support SSH-1 on any of the systems and so no longer provide SSH-1 keys or fingerprint

28 Nov 2023: Unlocking the potential of blood tests for public and individual health.

2 Nov 2023: Convergence of series; comparison and ratio tests. [6]. The integral as the limit of a sum. ... Convergence of series; comparison and ratio tests. Power series of a complex vari-able; circle of convergence.

27 Jun 2024: test_stat <- 2(logLik(model2) - logLik(model1)). > pval <- 1 - pchisq(test_stat, df = 1). ... err.train <- colMeans((Y - Y.hat)2). > err.test <- colMeans((Y.star - Y.hat)2). >

9 Nov 2023: 3]. Natural Sciences IA, Mathematics Paper 1. 11. 19W. (a) State without proof the ratio test for series convergence. ... 2]. (b) By using any test for series convergence, determine whether the following seriesconverge or diverge:.

3 Jul 2024: consider the following two tests:. Test 1: Reject H0 if X1 > 0.95;. ... d) Is either Test 1 or Test 2 uniformly most powerful for testing the hypotheses?

27 Jun 2024: 2. 1. Consider a randomized clinical trial to test the efficacy of a new drug. ... Zn given Nz =. ni=1 1{Zi=z},z = 0,1,2. (ii) Describe Fisher’s exact test in the analysis of 2 2 contigency tables.