Homework set 7 - Solutions
نویسنده
چکیده
The Student’s t Test. A very common problem in statistics is to estimate the population mean of a probability distribution given a sample, the subject of sections 7.1 and 7.2 of the statistics textbook. As explained there, this relates directly to the so-called t test. For large samples we may assume, due to the central limit theorem, that the sample mean is normally distributed; one often considers sample size n > 30 as being big enough in practice. For relatively small samples, in order to make inferences based on the t test, the underlying population itself must be normally distributed. We illustrate the t test with an example in R. Let us first generate some data:
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