assignmetn #5

assignmetn #5 - Alicia Deal 09-30-04 CJ 685 Assignment #5...

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Alicia Deal 09-30-04 CJ 685 Assignment #5 1.) What is the purpose of confidence intervals? The confidence interval is the range of values or an interval within which the population value falls. It is an estimated interval that we are reasonably confident contains the true population value “over the long run.” The advantage is that by stipulating a range of values instead of a point estimate, the population parameter is more likely to be included. 2.) Describe the differences between the z distribution and the t distribution. When is it appropriate to use the z distribution for estimation? The central limit theorem only applies to large-sized samples, thus the z distribution is used. Therefore, if our sample is small, we must utilize statistics that violate this large sample assumption. When our research dictates that we have no choice and must utilize a small sample, the t distribution is typically used to make inferences from the sample mean, X, the population mean, mu ( ). At small sample sizes, the t distribution is flatter
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assignmetn #5 - Alicia Deal 09-30-04 CJ 685 Assignment #5...

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