A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: Number of Accidents A B C D E F G H Before modification 5 7 6 4 8 9 8 10 After modification 3 7 7 0 4 6 8 2 Click here for the Excel Data File At the 0.01 significance level, is it reasonable to conclude that the modification reduced the number of traffic accidents? State the decision rule for 0.01 significance level: H0: μ After − μ Before =μd ≥ 0 H1: μd < 0. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were:
Number of Accidents | ||||||||
A | B | C | D | E | F | G | H | |
Before modification | 5 | 7 | 6 | 4 | 8 | 9 | 8 | 10 |
After modification | 3 | 7 | 7 | 0 | 4 | 6 | 8 | 2 |
Click here for the Excel Data File
At the 0.01 significance level, is it reasonable to conclude that the modification reduced the number of traffic accidents?
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State the decision rule for 0.01 significance level: H0: μ After − μ Before =μd ≥ 0 H1: μd < 0. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
-
Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
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