STAT 3005 Lecture Notes - Lecture 7: Box Plot, Repeated Measures Design, Simple Random Sample

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7. 1 inference for means of a population & comparing two. Recall ~ parameter refers to a number that describes some characteristic of the population. Normally, the value of the parameter is not known because we cannot examine the entire population. Recall ~ statistic refers to a number that describes some characteristic of a sample. The value of a statistic can be computed directly from the sample data. Statistics are often used to estimate an unknown parameter. When many srss are chosen from a population, the sampling. Central limit theorem: distribution of a sample mean: measures how much the sample statistic varies from sample to sample. It is smaller than the standard deviation of the population. Averages are less variable than individual observations. When the sample is large enough, the distribution of sample means is by a factor of . Any linear combination of independent normal random variables are also normally distributed.

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