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{"ops":[{"insert":"a) we write the null hypothesis (if necessary)\n\nb) solution\n\nc) result\n\nd) answer (together with a comparison to the theoretical distribution, if needed)\n\n(3 p.) Calculate the sum of the given series of numbers, arithmetic mean and average deviation, variance, standard deviation and coefficient of variation and make historgam:\n\n1, 2, 3, 4, 5, 5.1, 5.2, 5.4, 5.6, 5.7, 5.9, 6.1, 6.4, 6.7, 7.5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 99\n\n(1 p.) The population density in two 100,000-people cities is 700 people \/ km2 and 200 people \/ km2, respectively. Calculate the average population density\n\n(2 p.) Check if the exam pass rate depends on sex\n\npass\u00a0Not pass\u00a0\u00a0\nW\u00a021\u00a05\u00a0\u00a0\nM\u00a047\u00a020\u00a0\u00a0\n\n(3 p.) Does the speed of the runner depend on the color of the shirt?\n\nblack\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0white\u00a0Green\u00a0\u00a0\n4.8\n\n4.9\n\n4.0\n\n4.6\n\n5.1\n\n5.3\u00a04.4\n\n4.3\n\n4.4\n\n4.2\n\n4.0\n\n4.0\u00a03.9\n\n5.1\n\n4.9\n\n4.8\n\n4.7\n\n4.6\u00a0\u00a0\n\n(2 p.) Check if the exam pass rate depends on the time you are studying\n\nTime in days\u00a01\u00a02\u00a03\u00a04\u00a05\u00a06\u00a07\u00a08\u00a09\u00a0\u00a0\ngrade\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a02\u00a03\u00a03.5\u00a04\u00a04\u00a05\u00a05\u00a05\u00a0\u00a0\n\n(2 p.) Two development companies have purchased land for housing. Already after the purchase, a questionary was conducted regarding the most fashionable areas in the city. Based on this information, check if any of these companies have better land for housing.\n\nA\u00a0\u00a01\n\nB\u00a0\u00a02\n\nC\u00a0\u00a03\n\nD\u00a0\u00a04\u00a0\n\nE\u00a0\u00a05\n\nF\u00a0\u00a06\n\nG\u00a0\u00a07\n\nH\u00a0\u00a08\n\nI\u00a0\u00a09\n\nJ\u00a0\u00a010\n\ncompanie 1: A, B, C, D, I\n\nkompanie 2: E, F, G, H, J\n"}]}

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