BACHELOR OF EDUCATION Study Guide - Midterm Guide: Statistical Parameter, Null Hypothesis, Standard Deviation

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Before we discuss t-test, let"s differentiate first t-test from z-test. Both can be used for hypothesis testing, as well as for confidence interval estimation, but the main difference is whether or not the population standard deviation or variance is known. If the population standard deviation is given in the problem, then use z-test, otherwise use t-test. Since t-test is a type of hypothesis testing, which is under inferential statistics, t-tests draw conclusions about a population parameter by just using a sample from that population. Most t-tests can only be used when the following assumptions are not violated: normality - the data came from a population that is normally distributed. Independence - the data from the sample are in no way influenced by or related to the measurements of other data: homoscedasticity - the variance of the two populations are equal.