Solve given Inferences involving two populations A study in Pediatric Emergency Care compared the injury severity between younger and older children.

kuCAu 2020-12-22 Answered
Solve given Inferences involving two populations
A study in Pediatric Emergency Care compared the injury severity between younger and older children.
One measure reported was the Injury Severity Score(ISS).
The standard deviation of ISS scores for 37 children 8 years or younger was 23.9,v and the standard deviation for 36 children older than 8 years was 6.8. Assume that ISS scores are normally distributed for both age groups.
At the 0.01 level of significance, is there sufficient
Feason to conclude that the standard deviation of Iss
Scores for younger children is larger than the standard deviation of Iss scores for older children?
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Expert Answer

delilnaT
Answered 2020-12-23 Author has 94 answers

Given,
younger children:μ1 = 37, s1 = 23,9
older children:μ2 = 36, s2 = 6,8
hypotesis is,
H0: s1 = s2
H1: s1 > s2
statistic:
F = s12s22=23.926.82 = 12.35316
Degree of freedom:
μ11 = 37  1= 36
μ21 = 36  1= 35
So, critical F value for 36, 35 degree of freedom is 2.222457 Since, critical F value, is Fω > 2.222457, H0 is rejected.
Therefore, we conclude that here is enough enidence to test the claim that the standard deniatim of younger children is larger than that of older childer.

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