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9.1 Sampling Distributions Summary of “Post It” Activity from yesterday: Let x denote the height of a randomly Let x denote the mean height selected female. of a random sample of 30 females. x-distribution SAMPLING DISTRIBUTION x~ N(64.5, 2.5) x distribution (n = 30) Normal x x Parameters: Parameters: µx = µx = σx = Q: What is the probability that a randomly selected woman will be taller than 63.7 inches ? (use tables and z-calculations) Q: If a woman is in the 90th percentile for her height, how tall is she ? σx = Q: What is the probability that a randomly selected sample of size n = 30 women will have a mean height that is greater than 63.7 in ? Q: If a sample of n = 30 women have an average height that is in the 90th percentile, what is their average height?