MATH 321 Lecture Notes - Lecture 55: Simple Random Sample, Null Hypothesis, Randomized Experiment

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10. 4 hypothesis tests for a population standard deviation 10. 4. 1 test hypotheses about a population standard deviation (1 of 22) Testing hypotheses about a population variance or standard deviation. To test hypotheses about the population variance or standard deviation, we can use the following steps, provided that: the sample is obtained using simple random sampling or from a randomized experiment, the population is normally distributed. 10. 4 hypothesis tests for a population standard deviation 10. 4. 1 test hypotheses about a population standard deviation (2 of 22) Step 1: determine the null and alternative hypotheses. The hypotheses can be structured in one of three ways: Note: 0 is the assumed value of the population standard deviation. 10. 4 hypothesis tests for a population standard deviation 10. 4. 1 test hypotheses about a population standard deviation (3 of 22) Step 2: select a level of significance, , based on the seriousness of making a type i error.