Here are summary statistics for randomly selected weights of newborn girls: n= 240, x= 31.8 hg, s = 7.9 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 29.1 hg <µ< 34.7 hg with only 15 sample values, x= 31.9 hg, and s = 3.6 hg? What is the confidence interval for the population mean µ? ] hg< µ

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Here are summary statistics for randomly selected weights of newborn girls: 

- Sample size (n) = 240
- Sample mean (\( \bar{x} \)) = 31.8 hg
- Sample standard deviation (s) = 7.9 hg

Construct a confidence interval estimate of the mean using a 99% confidence level. Determine if these results differ significantly from the confidence interval 29.1 hg < \( \mu \) < 34.7 hg, which was derived using only 15 sample values with 

- Sample mean (\( \bar{x} \)) = 31.9 hg
- Sample standard deviation (s) = 3.6 hg

**What is the confidence interval for the population mean \( \mu \)?**

\[ \_\_ \, \text{hg} < \mu < \_\_ \, \text{hg} \]

(Round to one decimal place as needed.)
Transcribed Image Text:Here are summary statistics for randomly selected weights of newborn girls: - Sample size (n) = 240 - Sample mean (\( \bar{x} \)) = 31.8 hg - Sample standard deviation (s) = 7.9 hg Construct a confidence interval estimate of the mean using a 99% confidence level. Determine if these results differ significantly from the confidence interval 29.1 hg < \( \mu \) < 34.7 hg, which was derived using only 15 sample values with - Sample mean (\( \bar{x} \)) = 31.9 hg - Sample standard deviation (s) = 3.6 hg **What is the confidence interval for the population mean \( \mu \)?** \[ \_\_ \, \text{hg} < \mu < \_\_ \, \text{hg} \] (Round to one decimal place as needed.)
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