Question: Let X1, . .., X30 be a random sample from a normal distribution with unknown mean / and known variance o = 3. Consider the

Let X1, . .., X30 be a random sample from a normal distribution with unknown mean / and known variance o = 3. Consider the following hypotheses: Ho : 1 = 1, H1 : / > 1. A sample @1, ..., @30 is collected and the sample mean from this sample is calculated to be x = 1.48. The test statistic z and p-value p for testing these hypotheses (UMP) based on this sample are: Select one: O z = 1.52, p = 6.43% O z = 1.96, p = 5.00% O z = 1.52, p = 12.86% O z = -1.52, p = 6.43%

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