Testing Claims About Means Using Critical Z-Values
This is the most common way for professors to want you to deal with hypothesis testing of sample means. It's not as easy as just using the 1-sample mean test on your calculator -- which is pure plug-and-chug -- but it's favored by teachers because it's a nice compromise between the retro method of t-tables and the no-thinking world of letting the calculator do everything for you.
Using t-value Table To Test P-Values (Student t-Test)
When you want to test a hypothesis using the critical t-value method, you have to first come up with the critical t-value for your given level of confidence. That's pretty easy with a calculator using the inverseT function. But if you have one of those retro professors who makes you use the table, this video explains how to do it.
Testing Claims About Means Using Critical t-Value (Student t-Test)
This is the "other way" to test a hypothesis about a mean: most of the steps of the process are the same as using the P-value method, except instead of converting the t-value of your sample to a P-value (probability), you instead compare it to the cutoff critical t-value that you either get from your calculator or a table.
Hypothesis Testing Claims About Means Using Calculator P-value
This is the easiest method to test a hypothesis about a mean: just go into the stats menu on your calculator, select the one-sample mean test, and enter numbers directly from the word problem. You'll still have to know what a P-value and t-value mean, since that's what the calculator spits out, but at least you won't have to memorize any formulas!
If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)