AEM 201 1st Edition Lecture 21 PREVIOUS LECTUREI. One-Sampling Hypothesis TestII. Steps in Hypothesis TestingCURRENT LECTUREI. Tests About a Single Mean-Standard Deviation Known and Sample Mean Normally Distributed (Critical Value Approach)II. Tests About a Single Mean- Standard Deviation Unknown and Sample Mean Normally Distributed (Critical Value Approach)III. Tests About a Single Proportion, Normally Distributed (Critical Value Approach)TESTS ABOUT A SINGLE MEAN-STANDARD DEVIATION KNOWN AND SAMPLE MEANNORMALLY DISTRIBUTED (CRITICAL VALUE APPROACH)- Null and alternative hypotheses:- Appropriate test statistic:These notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.TESTS ABOUT A SINGLE MEAN- STANDARD DEVIATION UNKNOWNAND SAMPLE MEAN NORMALLY DISTRIBUTED (CRITICAL VALUEAPPROACH)- Null and alternative hypotheses:- Appropriate test statistic:- Note that when n is greater than or equal to 30, some use the z table even if the standard deviation is not known (because as n gets large, the sample standard deviation becomes a very accurate approximation of the population standard deviation)o If you do not know the population standard deviation, use t- The alternate hypothesis points to whether its an upper or lower tailed testo < Points to lower tailo > Points to upper tailo = Points to (both) two tailsTESTS ABOUT A SINGLE PROPORTION, NORMALLY DISTRIBUTED(CRITICAL VALUE APPROACH)- Null and alternative hypotheses:- Appropriate test statistic:- The sample proportion is normally distributed if:- Know what you are trying to find so you may accurately interpret results- Test for when you want to know something about quantitative data- Test for p when you want to know something about qualitative data- If the sample mean is not normal, then you cannot test anything about itThe only thing you can do is bump up the sample size to at least
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