0.12 The chi-square distribution: lab i (edited: teegarden)

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.

Hypothesis test

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

• $H_o$ :
• $H_a$ :
• Calculate the test statistic.
• Find the p-value.
• Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the p-value.

• State your decision.
• State your conclusion in a complete sentence.
• If in fact the students did not have a flat tire, do you think they will be caught out? Explain.