Lesson 17, The Difference Between Two Population Means, Summary Notes

For Lesson 17 here are some summary notes, Lesson 17 Summary Notes.

Summary Page for Exam Three review

Here is the summary page that we wrote at the first of class today with the basic equations for Inferences on the parameters known as the population mean and population proportion.  20160407 summary Lessons 13, 14, 15, 16 Inferences on Mean and Proportion

Class notes Z and t tests

On Tuesday, April 4, STAT 2023 began to consider Inferences on the Population Mean when the Population Standard Deviation is unknown.   The sample standard deviation, S, will be used as an estimator for sigma, the population standard deviation, but when that occurs the test statistic is not Z, but t and the confidence interval form is also based on t, not Z.   Here are some details, Class Notes Z test and t test, with CI equations .

When should the null hypothesis be rejected?

How do we know when to reject the null hypothesis and claim the alternative hypothesis is true?  Here are some FAQ‘s about the rejection decision that describe some ideas about Rejection Regions and also the P-value of hypothesis test. Rejection Region and P-value

Oil well problem. 3 cases of a Z test

The summary page developed in class for Lesson 14 is here.  OK oil well problem Z test.

Another oil well example with 3 cases and more detail is here,  Class Notes .  These cases have different numbers that the cases considered in class, but are the same problems.  The cases demonstrate the difference between strong evidence, no evidence, and moderate evidence against the null hypothesis and in favor of the alternative.