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Stat 300: TEST #4 - 100 points Curran: THE Continuous Normal PD Name 1] In an N(0,1) distribution, what z-scores are at P and

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Stat 300: TEST #4 - 100 points Curran: THE Continuous Normal PD Name 1] In an N(0,1) distribution, what z-scores are at P and P? -4 P = P86 0 Free-Response - 4 points each 4 2] What is the Central Limit Theorem? Basically, it allows us to treat a sample mean's ('s) distribution as normal whenever one of two conditions is satisfied. What are these conditions? What then will be the mean and the standard deviation of x's distribution? Condition 1: Condition 2: Mean of x's distribution: Std dev of x's distribution: 3] The Graduate Record Examinations are widely used to help predict the performance of applicants to graduate schools. The GRE has an N(544 pts, 103 pts) distribution. Assuming only whole number scores are possible, what is the minimum score needed to land in the top 8% of all scores? -4 0 4

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