QTM 100 Lecture Notes - Lecture 12: Alternative Hypothesis, Seed, Null Hypothesis

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Steps for constructing a confidence interval for a population mean ( ) Your data may not be representative of the population of interest. The standard error (se) tends to be underestimated. Results in confidence intervals that are two precise (invalid. Identify t for your specified level of confidence. The t-distribution why t and not z. When we calculate a confidence interval for a true population proportion, we only have to estimate one parameter: p. The eslmates of these parameters are x and s. When we calculate a confidence interval for a true population mean, in practice we generally have to estimate to parameters: and . We use the t-distribution instead of the standard normal distribution (z) when calculating a confidence interval for a mean. This accounts for the additional uncertainty in estimating two parameters instead of just one. Characterized by its only defining parameter, the degrees of freedom.

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