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# How do you perform a t-test?

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How is hypothesis testing performed using t-tests?

How do you write out Ho and Ha?

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

What are critical regions?

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

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#### Solution Preview

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 ...

#### Solution Summary

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

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