MATH 10041 Lecture Notes - Lecture 31: Confidence Interval, Statistical Hypothesis Testing, Hypothesis

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9. 5: comparing two population means: conduct hypothesis tests and construct confidence intervals about a population mean for independent and dependent samples. Dependent samples: when comparing two populations, it is important to note whether the data are two independent samples or are paired (dependent) samples. Paired/dependent samples: each observation in one group is coupled or paired with one particular observation in the other group, examples, before and after comparisons, related objects/people (twins, siblings, spouses) Example: dependent or independent: people chosen in a random sample are asked how many minutes they spend reading and how many minutes they spent exercising during a certain day. Researchers wanted to know how different the mean amounts of time were for each activity. Is this a dependent or an independent sample: a sample of men and women each had their hearing tested. Researchers wanted to know whether, typically, mean and women differed in their hearing ability.