Tests of child Booster seats The National Highway Traffic Safety Administration

Question

Tests of child Booster seats The National Highway Traffic 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 requirement is that the HIC measurement should be less than 1000 HIC. Use a 0.01 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? 602 696 762 572 637

Explanation / Answer

Hypothesis:

H0 : mu > = 1000

Ha: mu < 1000

Test statistic:

x = 653.8 , s = 76.07

t = ( x - mean) /( s / sqrt(n))

= ( 653.8 - 1000) / ( 76.07 / sqrt(5))

= -10.17

Now, we need to find p value by using t = -10.17 , df = 5-1 = 4

p value = .000263.

As p value is less than 0.01 so we reject the null hypothesis

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