- Using a full hypothesis testing procedure, test the data in Data Set A to see if this randomly selected sample was drawn from a population that has a mean of 16. Use an alpha level of .05.

First, lets review the steps for hypothesis testing.

- State the null (H
_{0}) - State the alternative hypothesis (H
_{1}) - Select the alpha level
- State the rejection rule
- Compute the test statistic
- Make a decision.
- State your conclusion.

1. H_{0}: μ
= 16

2. H_{1}: μ
not equal to
16

3. Alpha = .05

4. Rejection rule: Reject H_{0} if |t_{comp}| > 2.0639

5.

6. Because |0.6638| < 2.0639, we fail to Reject the H_{0}:

- A one-sample
__t__test was performed to determine if the sample came from a population with a mean different from 16. There was insufficient evidence to conclude that the population from which Data Set A was randomly drawn differs from a population that has a mean of 16,__t__(24) = 0.6638,__p__> .05.