BUSS1020 Lecture Notes - Lecture 7: Sampling Distribution, Statistic, Random Variable

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If coca-cola repeats this sampling many times, all with n=50, there would be a different proportion/mean for each sample. These form the sampling distribution for the sample/proportion of mean. In statistics, we are interested in the sampling distributions of the sample proportion/mean i. e. from all possible samples of 25 or 35 or 50 (or any n) people/customers/packets. Assume there is a populatio(cid:374) : population size n=4, random variable x, is the number of business meetings this month, values of x: 18, 20, 22, 24, now we consider all the possible samples of size n=2. Comparing the population to the sample means distribution. Different sample sizes of the same size (n) from the same population, will yield different sample means. If a population is normal, with mean or sd, the sampling distribution of is also normally distributed with: For any population with mean and standard deviation , the sampling distribution of x has: Z-value for the sampling distribution of x:

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