A movie director who combines dark humor and neo-western in his films is curious about gender preferences about his movies. His team randomly sampled 12 male and 14 female movie fans and had them score one of his movies after watching it. Here are the scores: Males: 83 85 83 72 84 86 65 79 74 81 85 89 Females: 78 80 75 73 65 86 71 77 77 78 73 82 71 65 In order to investigate whether there is enough evidence to conclude that males actually like his movies more, the test statistic is and the p-value is (Hint:Assume the populations are Normal and variances are equal, Use the mean of males as Mu1)

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.