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Collection by: Mary Teegarden. E-mail the author

# The Chi-Square Distribution: Lab I (edited: Teegarden)

Module by: Mary Teegarden. E-mail the author

Summary: This module provides a lab on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. Labs changed to incorporate mini-tabs.

Class Time:

Name:

## Student Learning Outcome:

• The student will evaluate data collected to determine if they fit either a uniform distribution.

## Collect the Data

Three car-pooling students claimed that they missed their statistics test because they had a flat tire. On the make-up test the instructor asked them to identify the particular tire that went flat. The instructor assumed that the distribution would be uniform. To test this assumption,survey the class to determine the number the which tire they would select.

 Tire Left Front Left Rear Right Front Right Rear Number Selected

## Hypothesis Test

Conduct a hypothesis test to determine if the selection of a tire fits a Uniform Distribution.

1. HoHo size 12{H rSub { size 8{o} } } {}:
2. HaHa size 12{H rSub { size 8{a} } } {}:
3. Calculate the test statistic.
4. Find the p-value.
5. Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the p-value.
7. State your conclusion in a complete sentence.
8. If in fact the students did not have a flat tire, do you think they will be caught out? Explain.

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