Here are summary statistics for randomly selected weights of newborn girls: n= 158, x= 27.9 hg, s= 6.6 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 27.1 hg
Here are summary statistics for randomly selected weights of newborn girls: n= 158, x= 27.9 hg, s= 6.6 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 27.1 hg
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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![### Constructing a Confidence Interval for Newborn Girls' Weights
Here are summary statistics for randomly selected weights of newborn girls:
- Sample size (\(n\)): 158
- Sample mean (\(\bar{x}\)): 27.9 hg
- Sample standard deviation (\(s\)): 6.6 hg
We aim to construct a confidence interval estimate of the mean weight using a 98% confidence level.
**Analysis Question**:
Are these results very different from the previous confidence interval \( 27.1 \text{ hg} < \mu < 29.7 \text{ hg} \) based on a smaller sample size of 20, with a sample mean (\(\bar{x}\)) of 28.4 hg, and sample standard deviation (\(s\)) of 2.3 hg?
#### Confidence Interval Calculation:
To find the confidence interval for the population mean \(\mu\):
\[ \text{Note: Values are to be rounded to one decimal place as needed.} \]
\[ \_\_\_\_ \text{ hg} < \mu < \_\_\_\_ \text{ hg} \]
This exercise will help determine how the larger sample size affects the precision of our confidence interval estimates compared to a smaller sample size.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60345510-3d33-45c8-87ff-b8e2666cb6d7%2Fd980d8dd-8d4b-4055-99c2-d96c78b62d42%2Fcg4kmr_processed.png&w=3840&q=75)
Transcribed Image Text:### Constructing a Confidence Interval for Newborn Girls' Weights
Here are summary statistics for randomly selected weights of newborn girls:
- Sample size (\(n\)): 158
- Sample mean (\(\bar{x}\)): 27.9 hg
- Sample standard deviation (\(s\)): 6.6 hg
We aim to construct a confidence interval estimate of the mean weight using a 98% confidence level.
**Analysis Question**:
Are these results very different from the previous confidence interval \( 27.1 \text{ hg} < \mu < 29.7 \text{ hg} \) based on a smaller sample size of 20, with a sample mean (\(\bar{x}\)) of 28.4 hg, and sample standard deviation (\(s\)) of 2.3 hg?
#### Confidence Interval Calculation:
To find the confidence interval for the population mean \(\mu\):
\[ \text{Note: Values are to be rounded to one decimal place as needed.} \]
\[ \_\_\_\_ \text{ hg} < \mu < \_\_\_\_ \text{ hg} \]
This exercise will help determine how the larger sample size affects the precision of our confidence interval estimates compared to a smaller sample size.
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