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A Researcher with the Ministry of Transportation Is Commissioned to Study

Question 55

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A researcher with the Ministry of Transportation is commissioned to study the drive times to work (one-way) for U.S. cities. The underlying hypothesis is that average commute times are different across cities. To test the hypothesis, the researcher randomly selects six people from each of the four cities and records their one-way commute times to work. Refer to the below data on one-way commute times (in minutes) to work. Note that the grand mean is 36.625. A researcher with the Ministry of Transportation is commissioned to study the drive times to work (one-way) for U.S. cities. The underlying hypothesis is that average commute times are different across cities. To test the hypothesis, the researcher randomly selects six people from each of the four cities and records their one-way commute times to work. Refer to the below data on one-way commute times (in minutes) to work. Note that the grand mean is 36.625. The competing hypotheses about the mean commute times are ________. A) H<sub>0</sub>: ?<sub>1</sub> = ?<sub>2</sub> = ?<sub>3</sub>, H<sub>A</sub>: Not all population means are equal B) H<sub>0</sub>: Not all population means are equal, H<sub>A</sub>: ?<sub>1</sub> = ?<sub>2</sub> = ?<sub>3</sub> C) </sub><sub>H</sub><sub>0</sub>: ?<sub>1</sub> = ?<sub>2</sub> = ?<sub>3 </sub>= ?<sub>4</sub>, H<sub>A</sub>: Not all population means are equal D) H<sub>0</sub>: Not all population means are equal, H<sub>A</sub>: ?<sub>1</sub> = ?<sub>2</sub> = ?<sub>3</sub> = ?<sub>4</sub>
The competing hypotheses about the mean commute times are ________.
A) H0: ?1 = ?2 = ?3, HA: Not all population means are equal
B) H0: Not all population means are equal, HA: ?1 = ?2 = ?3
C) H0: ?1 = ?2 = ?3 = ?4, HA: Not all population means are equal
D) H0: Not all population means are equal, HA: ?1 = ?2 = ?3 = ?4

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