How is hypothesis testingperformed using t-tests?

How do you write out Ho and Ha?

What are the options for determining whether a hypothesis testresult is significant?

What are critical regions?

How do you determine which t-testis most appropriate to use?

Q1. How is hypothesis testing performed using t-tests?

In the following three cases, one needs a t test.

(1) Test if the population mean is different from (or greater than or less than ) a given value when the population standard deviation is unknown.

(2) Test if the two population means are different (or one is greater or smaller ) when the population standard deviations are unknown.

(3) When the samples are dependent.

In the case (1), a one-sample t-test is used, and in the case (2), the independent 2 sample t test will be used, and in the case (3), the paired t-test will be used.

Q2: How do you write out Ho and Ha?

The null hypothesis Ho is a statement of the population parameter(s) that contains an equality …

This solution consists of details of how to perform a t-test.