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.
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