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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