How safe are child car seats? Consumer Reports (May 2005) tested the safety of c

Question

How safe are child car seats? Consumer Reports (May 2005) tested the safety of child car seats in 30 mph crashes. They found “slim safety margins” for some child car seats. Suppose that Consumer Reports simulates the safety of the market-leading child car seat. Their test consists of placing the maximum claimed weight in the car seat and simulating crashes at higher and higher miles per hour until a problem occurs. The following data identify the speed at which a problem with the car seat first appeared; such as the strap breaking, seat shell cracked, strap adjuster broke, detached from the base, etc.: 35.3, 35.1, 30.2, 32.4, 35.3, 32.3, 29.3, 35.6, 30.4, 34.5, 29.2, 33.6. Let µ denote the true mean speed at which a problem with the car seat first appears. The following MINITAB output gives the results of using the sample data to test H0: µ = 30 versus Ha: µ > 30.

  

0.0013

How much evidence is there that µ exceeds 30 mph? (Round your answer to 4 decimal places.)

Since p= ____________ there is ____________ evidence

  Test of = 30 vs > 30   Variable N Mean StDev SE Mean T P   mph 12 32.7667 2.4733 0.5156 3.8800

0.0013

Explanation / Answer

pvalue = 0.0013

There is (100-0.13)%=99.87%=0.9987 evidence.

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