The National Highway Traffic Safety Administration conducted crash tests of chil
ID: 3125701 • Letter: T
Question
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). According to the safety requirement, the hic measurement should be less than 1000.
776, 649, 1210, 546, 431, 612
6. (17 points) What is the variance in hic?
7. (8 points) What is the standard deviation in hic?
8. (8 points) Find z-score for hic 1210.
9. (7 points) Find z-score for hic 612.
10. (7 points) Are hic 1210 and 612 unusual values? Justify your answer.
Explanation / Answer
6)
7) I took the square root of the number from step 6 (called the Variance),
(74440.4) = 272.83768068212277
This is Standard Deviation!
8) MEAN =4224/6 = 704
Z SCORE FOR 1210
Z = (X - MEAN)/STAMDARD DEV
= (1210 - 704)/272.83 = 1.85
9) Z SCORE FOR 612 = (612 - 704)/272.83 = -0.33
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