Question

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.

Houston Charlotte Tucson Akron
45 25 25 10
65 30 30 15
105 35 19 15
55 10 30 10
85 50 10 5
90 70 35 10
74.167 36.667 24.833 10.833
524.167 436.667 82.167 14.167

Based on the sample standard deviation, the one-way ANOVA assumption that is likely not met is _____________.

A) the populations are normally distributed
B) the population standard deviations are assumed to be equal
C) the samples are independent
D) None of these choices is correct

Answer 1

B

Explanation:

For one-way ANOVA test results to be reliable, it has to be assumed that standard deviations of populations are equal. Here standard deviations of populatinos are not mentioned.