PNB 3RM3 Lecture Notes - Lecture 35: Chocolate Chip Cookie, Standard Error, Standard Deviation

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Compare a sample mean to a hypothetical population mean in order to find a p-value. Formal way of computing hypothetical population mean. If you"re dealing with samples, use a t-test, if you"re dealing with populations, use a z- score t-tests standard error units. Formula is the same as calculating z or d, but the denominator is affected by sample size. Criteria for small enough also depends on sample size. t-values are in units of standard error. Criteria depends on sample size because t-values have a family of normal distributions. Reason why criteria depends on sample size p values themselves have distributions (different families with different widths: widths are dependent on sample size example of one-sample t-test. Ask 10 students: data: 250, 280, 200, 150, 175, 200, 200, 220, 180, 250. Is it different enough? t = -3. 07: depends on the concept of degrees of freedom, which is proportional to sample size (here, df=n-1)

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