A safety administration conducted crash tests of child booster seats for cars. L

Question

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirements is that the hic measurements should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? Explain.

768 685 1243 675 640 549

[Show all your steps for the hypothesis test.]

Explanation / Answer

null hypothesis: mean =1000

alternate hypothesis: mean<1000

from above as p value is less then 0.05 level we reject null hypothesis and conclude that   the hic measurements should be less than 1000 hic.

X 768 685 1243 675 640 549 mean(X) 760.000 std deviation(S) 247.0320 std error =S/(n)1/2 100.8504 t=(X-1000)/std error -2.3798 p value 0.0316

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