Question: The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a
0.050.05
significance level, 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 crash tests?
| Analysis of Variance | |||||||
| Source | DF | Adj SS | Adj MS | F-Value | P-Value | ||
| Size | 33 | 0.81240.8124 | 0.27080.2708 | 0.680.68 | 0.5680.568 | ||
| Error | 6060 | 23.898023.8980 | 0.39830.3983 | ||||
| Total | 6363 | 24.710424.7104 |
Question content area bottom
Part 1
Determine the null hypothesis.
Upper H 0H0:
Part 2
Determine the alternative hypothesis.
Upper H 1H1:
mu 1 equals mu 2 equals mu 3 equals mu 41=2=3=4
All of the means are differentAllofthemeansaredifferent
mu 1 less than mu 2 less than mu 3 less than mu 41<2<3<4
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
Part 3
Determine the test statistic.
The test statistic is
enter your response here.
(Round to two decimal places as needed.)
Part 4
Determine the P-value.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
Part 5
Does size of the car appear to have an effect on the force on the left femur in crash tests?
Reject
Fail to reject
Upper H 0H0.
There
is not
is
sufficient evidence at a
0.050.05
significance level to 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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