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1. A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight...

1. A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight of 2998 g. Based on other births in the county, we will assume σ = 800 g. Calculate the 95% confidence interval for the mean birth weight of SIDS cases in the county. Interpret your results

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Answer #1

Level of Significance ,    α =    0.05
population std dev ,    σ =    800
Sample Size ,   n =    49
Sample Mean,    x̅ =   2998

z value=   z α/2=   1.9600   [Excel formula =NORMSINV(α/2) ]
          
Standard Error , SE =   σ/√n =   114.2857  
margin of error ,   E=Z*SE =   223.9959  
95 % confidence interval is           
Interval Lower Limit=   x̅ - E =    2774.0041  
Interval Upper Limit=   x̅ + E =    3221.9959  

we are 95% confident that true mean birth weight of SIDS cases in the county lie in interval ( 2774.0041g , 3221.9959 g)

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