Question

You wish to determine if there is a difference in mean height between downtown buildings in Nashville. Memphis, and Chattanooga. You run a one-way ANOVA on published building measurements and find an omnibus p−value of p=0.912. You the null hypothesis and conclude that.

a- reject; the mean height of buildings in at least one city is different than the mean height of buildings in at least one of the other cities
b- reject; the mean height of buildings in one city is different than the mean height of buildings in the other two cities fail to
c-reject: the mean height of buildings in at least one city is different than the mean height of buildings in at least one of the other cities fail to
d-reject; the mean height of buildings in all cities are the same fail to
e-reject; the mean height of buildings in at least one city is different than the mean height of buildings in at least one of the other cities fail to
f-reject; the mean height of buildings in all cities are the same

Answer 1

With a p-value of 0.912, you fail to reject the null hypothesis, concluding there is no significant difference in the mean building heights among Nashville, Memphis, and Chattanooga.

Step-by-step explanation:

When you run a one-way ANOVA and find an omnibus p-value of p=0.912, your decision about the null hypothesis depends on its comparison with your chosen significance level, often alpha = 0.05. Because the p-value is greater than the alpha level, you do not have enough evidence to reject the null hypothesis. Therefore, the correct answer is:

• Fail to reject; the mean height of buildings in all cities are the same.

The one-way ANOVA was conducted to determine if there was a difference in the mean heights of buildings between Nashville, Memphis, and Chattanooga. Given the high p-value, it indicates that there is no significant difference in the mean heights between the cities, suggesting that any observed differences are likely due to random variation rather than a true difference in populations.