A realtor wishes to compare the square footage of houses of similar prices in 4 different cities. The data are listed below. Can the realtor conclude that the mean square footage is the same in all four cities? Use α = 0.01.
Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Find the critical value(s) and identify the rejection region(s).
Find the appropriate standardized test statistic. If convenient, use technology.
Decide whether to reject or fail to reject the null hypothesis.
Interpret the decision in the context of the original claim.
City #1
City #2
City #3
City #4
2150
1980
2000
2210
1900
1780
1540
1690
1650
1530
1670
1580
1750
1500
1600
2400
2350
2600
2150
2000
2200
2350
Sample Solution