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Inference about Means/Averages

This chapter explores statistical means and averages, focusing on the Student's t-model for small sample sizes. We delve into the significance of the sample standard deviation in determining the standard error (SE) of the mean, and we address inherent issues when using sample data. By understanding degrees of freedom (df = n - 1), we can select the appropriate model for analysis. The chapter covers constructing confidence intervals for means and performing hypothesis tests, highlighting the necessary assumptions and conditions for accurate results.

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Inference about Means/Averages

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  1. Inference about Means/Averages Chapter 23 Looking at means rather than percentages

  2. What did we use?: SE( ) for the sample mean A new model for small samples – “the student t model” Making a confidence interval for the mean Test a hypotheses about the population mean using the sample mean

  3. So what is the SE(mean) ? Because we use the sample standard deviation rather than the population standard deviation there is inherent problem – to correct this we use a different model instead of the normal model. The new model is called “the student t” and is a family of models based on the sample size. The sample size determines which model you use. Degrees of Freedom or df are what we use to determine the model. Degrees of Freedom (df) = n - 1

  4. Like all other confidence intervals and tests, there are: Assumptions & Conditions

  5. The confidence interval is:

  6. The hypothesis test: same assumptions and conditions -

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