SOLUTION: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg)
A) What weight values encompass the 95% newborns?
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-> SOLUTION: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg)
A) What weight values encompass the 95% newborns?
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Question 1189096: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg)
A) What weight values encompass the 95% newborns? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! the mean is 3.1 kg and the standard deviation is .5 kg.
with a two tailed confidence interval of 95%, the critical z-score will be plus or minus 1.96
that leave a 2.5% tail on both ends of the confidence interval that are outside the confidence interval.
the z-score formula is:
z = (x - m) / s
in this case:
z is the z-score
x is the sample mean
m is the population mean
s is the population standard deviation
you get 1.96 = (x - 3.1) / .5 and -1.96 = (x - 3.1) / .5
when z = 1.96, solve for x to get x = 1.96 * .5 + 3.1 = 4.08.
when z = -1.96, solve for x to get x = -1.96 * .5 + 3.1 = 2.12
at 95% confidence interval, the weight of babies will be between 2.12 and 4.08 kg.
what they says is that, approximately 95% of the samples taken will have a sample mean between 2.12 and 4.08 kg.
