Paired T Test for Before - After Null Hypothesis: difference = 0 Alternative Hyp: difference * 0 Mean Std Error Lower 95% CI Mean - HO Upper 95% CI T DF P 1.0069 0.3354 0.2762 1.0069 1.7377 3.00 12 0.0110 Cases Included 13 Missing Cases 0

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A comparison of crash data before and after red light cameras
were installed at a random sample of 13 intersections in
Virginia. Assume that the larger the crash numbers collected,
the more accidents that occurred. A paired difference analysis
of the crash data was conducted and the resulting printout is
shown here:
Paired T Test for Before After
Null Hypothesis: difference = 0
Alternative Hyp: difference # 0
Mean
Std Error
Lower 95% CI
Mean НО
Upper 95% CI
T
DF
P
1.0069
0.3354
0.2762
1.0069
1.7377
3.00
12
0.0110
Cases Included 13 Missing Cases 0
Would the population of paired differences need to be
approximately normally distributed for this analysis to work
properly?
O No, since the number of intersections in the state of Virginia i
larger than 30
O Yes, since all analyses require normal populations.
Yes, since the number of pairs collected is less than 30
O No, since the Central Limit Theorem applies here
Transcribed Image Text:A comparison of crash data before and after red light cameras were installed at a random sample of 13 intersections in Virginia. Assume that the larger the crash numbers collected, the more accidents that occurred. A paired difference analysis of the crash data was conducted and the resulting printout is shown here: Paired T Test for Before After Null Hypothesis: difference = 0 Alternative Hyp: difference # 0 Mean Std Error Lower 95% CI Mean НО Upper 95% CI T DF P 1.0069 0.3354 0.2762 1.0069 1.7377 3.00 12 0.0110 Cases Included 13 Missing Cases 0 Would the population of paired differences need to be approximately normally distributed for this analysis to work properly? O No, since the number of intersections in the state of Virginia i larger than 30 O Yes, since all analyses require normal populations. Yes, since the number of pairs collected is less than 30 O No, since the Central Limit Theorem applies here
Interpret the confidence interval shown on the printout.
We are 95% confident that the average number of "after" crashes
at all the states red light intersections exceeds the average of the
"before" crashes.
At the 95% confidence level, we cannot determine which mean
("before" of "after") of all crashes is larger.
We are 95% confident that the average number of "before" crashes
at all the states red light intersections equals the average of the
"after" crashes.
O We are 95% confident that the average number of "before" crashes
at all the states red light intersections exceeds the average of the
"after" crashes.
Transcribed Image Text:Interpret the confidence interval shown on the printout. We are 95% confident that the average number of "after" crashes at all the states red light intersections exceeds the average of the "before" crashes. At the 95% confidence level, we cannot determine which mean ("before" of "after") of all crashes is larger. We are 95% confident that the average number of "before" crashes at all the states red light intersections equals the average of the "after" crashes. O We are 95% confident that the average number of "before" crashes at all the states red light intersections exceeds the average of the "after" crashes.
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