Question

The standard deviation of babies born full term in the US is 14 oz. For a...

The standard deviation of babies born full term in the US is 14 oz. For a given region a sample size 44 had an average of 7.7 lbs (keep in mind that there are 16 oz in 1 lb.  

Assuming independence of births find a 90% confidence interval for the true average weight for babies in that region. Report the lower bound only.  

Round to 2 decimal places.

Math   Statistics-And-Probability   
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Answer #1

Given,

= 7.7 lbs = 7.7 * 16 = 123.2 oz

= 14 oz

90% confidence interval for is

- Z/2 * / sqrt(n) < < + Z/2 * / sqrt(n)

123.2 - 1.645 * 14 / sqrt(44) < < 123.2 + 1.645 * 14 / sqrt(44)

119.73 < < 126.67

Lower bound = 119.73

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