The Violent Crime Rate (Number of Violent Crimes Per 100,000

Essay

The violent crime rate (number of violent crimes per 100,000 residents)is investigated for ten Canadian cities for the years 1990 and 2000 to see if there has been a change.Shown below is software output for two possible tests.
Paired t-test of μ(1-2)
Test H0: μ (2000 - 1990)= 0 vs HA: μ(2000 - 1990)≠ 0
Mean of Paired Differences = 110.7 t-Statistic = -2.632 w/9 df
p = 0.0273
Two-sample t-test of μ1 - μ2
H0: μ1 - μ2 = 0 HA: μ1 - μ2 ≠ 0
Test H0: μ(2000)- μ(1990)= 0 vs HA: μ(2000)- μ(1990)≠ 0
Difference Between Means = 110.7 t-Statistic = -0.9222 w/15.6 df
p = 0.3705
Which of these tests is appropriate for these data? Explain.Using the test you select,state your conclusion.