Question
The data from car crash tests for four different vehicle size categories(Small, Midsize,Large, andSUV) with measured amounts of left leg femur force(kN) results in the
The data from car crash tests for four different vehicle size categories(Small, Midsize,Large, andSUV) with measured amounts of left leg femur force(kN) results in the following Minitab display. Using a
0.05
significancelevel, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crashtests?
Analysis of Variance | |||||||
Source | DF | Adj SS | Adj MS | F-Value | P-Value | ||
Size | 3 | 0.7755 | 0.2585 | 0.65 | 0.586 | ||
Error | 60 | 23.8620 | 0.3977 | ||||
Total | 63 | 24.6375 |
Part 1
Determine the null hypothesis.
H0:
- mu 1 greater than mu 2 greater than mu 3 greater than mu 41>2>3>4
- At least one of the means is different from the othersAtleastoneofthemeansisdifferentfromtheothers
- mu 1 less than mu 2 less than mu 3 less than mu 41<2<3<4
- All of the means are differentAllofthemeansaredifferent
- mu 1 equals mu 2 equals mu 3 equals mu 41=2=3=4
Part 2
Determine the alternativehypothesis.
H1:
- mu 1 greater than mu 2 greater than mu 3 greater than mu 41>2>3>4
- All of the means are differentAllofthemeansaredifferent
- mu 1 equals mu 2 equals mu 3 equals mu 41=2=3=4
- At least one of the means is different from the othersAtleastoneofthemeansisdifferentfromtheothers
- mu 1 less than mu 2 less than mu 3 less than mu 41<2<3<4
Part 3
Determine the test statistic.
The test statistic is
(Round to two decimal places asneeded.)
Part 4
Determine theP-value.
TheP-value is
.
(Round to three decimal places asneeded.)
Part 5
Does size of the car appear to have an effect on the force on the left femur in crashtests?
[Reject or Fail to reject]H0. There[is or is not]sufficient evidence at a 0.05
significance levelto warrant rejection of the claim that the four vehicle size categories have the same mean force on the left femur in crash tests.
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