STP 231 Lecture Notes - Lecture 18: Square Root, Standard Deviation, Horse Length
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Sampling error: an error that occurs when we use samples to estimate a population characteristic. Sampling distribution of a statistic: probability distribution that specifies probabilities for all possible values the statistic can take. Capital x is now a statistic or sampling distribution of sample mean. The random variable of the population is the number of meals per day. The population mean construct the sampling distribution of the sample mean for: (e) for sample of each size, find the probability the sample mean will be equal to the population mean. (f) for sample of each size, find the probability the sampling error made in estimating the population mean by the sample mean will be 1 or less. Using the number 1, 3, 5, 7. Sampling distribution is made up of the sample mean and probability. All possible samples when sample size is 2 (n=2): Could combine the samples 1,7 and 3,5. Their probability would become 2/6 or 1/3.