Use the following listed chest deceleration measurements (in g, where g is the f

Question

Use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Use a

0.01

significance level to test the claim that the different size categories have the same median chest deceleration in the standard crash test. Do the data suggest that larger cars are safer?

Small   Midsize   Large
40   34   34
44   52   45
36   46   44
45   46   38
35   52   35
36   48   39
40   41   33

Compute the test statistic.

The test statistic is____

(Round to three decimal places as needed.)

Determine the P-value.

The P-value is______

State your conclusion. Do the data suggest that larger cars are safer?

Explanation / Answer

Output from excel:

test statistic = 4.074

pvalue = 0.03 < 0.05 we reject null hypothesis at 5%l.o.s and conclude that larger cars are safer.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Small 7 276 39.42857 15.95238 Medium 7 319 45.57143 40.61905 Large 7 268 38.28571 22.57143 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 214.9524 2 107.4762 4.074007 0.034714 3.554557 Within Groups 474.8571 18 26.38095 Total 689.8095 20

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