HYPOTHESIS TESTING: AN EXAMPLE
One-Sample t Test Example 3 (Commuter Students)
Kennesaw State University has a large number of commuter students. The registrar wants to determine whether KSU students differ in the number of miles they drive to school compared to the national average (μ ’ 16).
Step 1. State your hypotheses.
a. Is it a one-tailed or two-tailed test?
b. Research hypotheses
HA:
H0:
c. Statistical hypotheses
HA:
H0:
Step 2. Set the significance level ( ( = .05 Determine tcrit.
Step 3. Select and compute the appropriate statistical test.
|Miles Commuted | | | |
|X |[pic] |X –[pic] |(X –[pic])2 |
|10 | | | |
|5 | | | |
|22 | | | |
|4 | | | |
|15 | | | |
|5 | | | |
|7 | | | |
|9 | | | |
|3 | | | |
|20 | | | |
| | | | |
| | | | |
Step 4. Make a decision. Determine whether the value of the test statistic is in the critical region. Draw a picture. Label tcrit and tobt.
Is tobt in the critical region?
Should you reject or retain the H0?
Step 5. Report the statistical results.
Step 6. Write a conclusion.
Step 7. Compute the estimated d.
Step 8. Compute r2 and write a conclusion.
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