Welcome Statistic Adventure to the Discussion Tavern for your Quest of Sampling.

We have some patrons that would like to speak to you, but at this moment you can only answer one of them so choose wisely......

Patron 1: Hello adventure, yes I would like you to explain why we sample and what are some of the methods to do so? Can you give me any examples? Can population mean and sample mean be the same?

Patron 2: Yessssss adventure, I want to be more confident in my statisticssss, and heard of a powerful tool called the Confidence Interval, but I don't know how to use it. Can you explain and give an example of when the population standard deviation is known and unknown, and how to interpret these z-values and t-values?

Patron 3: A test, A test adventure. Yes, a test for you. When we test the hypothesis, can you explain the difference between one and of two-sample tests? How would I know if I can reject this null hypothesis? Can you give an example of the one and two-sample tests? Why does the t-value have different formulas in a two-sample test?