# Hypothesis Testing: Age of College Juniors

Develop a problem statement. Let's assume that the question deals with the age of college juniors.

1) Establish the null hypothesis (H0) and the alternate hypothesis (H1).

2) Select the level of significance, that is.

3) Select an appropriate test statistic.

4) Formulate a decision rule based on steps 1, 2, and 3 above.

5) Make a decision regarding the null hypothesis based on the sample information. Interpret the results of the test.

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#### Solution Preview

Data states that the average age of college Juniors is 18.5 years old. We want to test to see if this is accurate for university xyz, since the new students on campus seem to look very young

Our null hypothesis would be:

Ho: The average age of students is 18.5 (u=18.5)

Our alternative would be:

Ha: The average age of students is less then 18.5 (u < 18.5)

Please note that since we are examining if our mean is less then the average, we will be looking at the left side of the bell curve (negative test statistic)

Level of ...

#### Solution Summary

This solution develops a problem statement on the age of college juniors and performs a hypothesis testing on it.