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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