Here are summary statistics for randomly selected weights of newborn girls: n= 220, x = 31.8 hg, s = 6.9 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.4 hg < u< 33.2 hg with only 13 sample values, x= 31.3 hg, and s = 2.5 hg? What is the confidence interval for the population mean u? hg < µ< hg (Round to one decimal place as needed.)
Here are summary statistics for randomly selected weights of newborn girls: n= 220, x = 31.8 hg, s = 6.9 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.4 hg < u< 33.2 hg with only 13 sample values, x= 31.3 hg, and s = 2.5 hg? What is the confidence interval for the population mean u? hg < µ< hg (Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Confidence Interval for Newborn Girls' Weights
In a statistical study involving randomly selected weights of newborn girls, the following data was collected:
- **Sample size (n):** 220
- **Sample mean (x̄):** 31.8 hg
- **Sample standard deviation (s):** 6.9 hg
You are required to construct a confidence interval estimate of the population mean using a 98% confidence level. Additionally, you need to determine whether these results significantly differ from a preceding confidence interval of \(29.4 \text{ hg} < \mu < 33.2 \text{ hg}\), which was based on a smaller sample size of 13, with a sample mean \(x̄ = 31.3\) hg and a sample standard deviation \(s = 2.5\) hg.
**Question:**
What is the confidence interval for the population mean \( \mu \)?
Fill in the values for the confidence interval:
\[ \boxed{ \quad } \text{ hg} < \mu < \boxed{ \quad } \text{ hg} \]
\( \text{(Round answers to one decimal place as needed.)} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3391f85-e2f3-44d0-ba7c-1c3fc3d55aa5%2F2b94ec7c-02c0-4541-be92-5383b326674f%2Fnr4n13p_processed.png&w=3840&q=75)
Transcribed Image Text:### Confidence Interval for Newborn Girls' Weights
In a statistical study involving randomly selected weights of newborn girls, the following data was collected:
- **Sample size (n):** 220
- **Sample mean (x̄):** 31.8 hg
- **Sample standard deviation (s):** 6.9 hg
You are required to construct a confidence interval estimate of the population mean using a 98% confidence level. Additionally, you need to determine whether these results significantly differ from a preceding confidence interval of \(29.4 \text{ hg} < \mu < 33.2 \text{ hg}\), which was based on a smaller sample size of 13, with a sample mean \(x̄ = 31.3\) hg and a sample standard deviation \(s = 2.5\) hg.
**Question:**
What is the confidence interval for the population mean \( \mu \)?
Fill in the values for the confidence interval:
\[ \boxed{ \quad } \text{ hg} < \mu < \boxed{ \quad } \text{ hg} \]
\( \text{(Round answers to one decimal place as needed.)} \)
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