**Title: Constructing a 95% Confidence Interval for Mean Weight of Newborn Baby Girls****Problem Statement:**A sample of 225 newborn baby girls found that the sample mean weight was 32.2 hg with a standard deviation of 7.7 hg. Construct a 95% confidence interval for the mean weight of newborn baby girls. (Be sure to show any work necessary, any formulas, and round your final answers to 2 decimal places.)**Step-by-Step Solution:****1. Identify the Sample Statistics:**- Sample Size ($ n $): 225- Sample Mean ($ \bar{x} $): 32.2 hg- Standard Deviation ($ s $): 7.7 hg**2. Determine the Confidence Level:**- Confidence Level: 95%- Significance Level ($ \alpha $): 0.05**3. Find the Critical Value:**For a 95% confidence level, the critical value (z-score) for a normal distribution is 1.96.**4. Calculate the Standard Error (SE):**\[SE = \frac{s}{\sqrt{n}} = \frac{7.7}{\sqrt{225}} = \frac{7.7}{15} = 0.5133\]**5. Construct the Confidence Interval:**The formula for the confidence interval is:\[\bar{x} \pm z \times SE\]Plugging in the values:\[32.2 \pm 1.96 \times 0.5133\]\[32.2 \pm 1.0061\]**6. Calculate the Confidence Interval:**- Lower Limit: $ 32.2 - 1.0061 = 31.19 $- Upper Limit: $ 32.2 + 1.0061 = 33.21 $**Conclusion:**The 95% confidence interval for the mean weight of newborn baby girls is $[31.19, 33.21] \, \text{hg}$.**Note:** Ensure calculations are rounded to two decimal places as specified.

Suppose, X be the weight of a newborn baby girl. The 1001-α% confidence interval for the mean weight…

13). A sample of 225 new born baby girls found that the sample mean weight was 32.2 hg with a standard deviation of 7.7 hg. Construct a 95% confidence interval for the mean weight of new born baby girls. (Be sure to show any work necessary, any formulas, and round your final answers to 2 decimal places)

13). A sample of 225 new born baby girls found that the sample mean weight was 32.2 hg with a standard deviation of 7.7 hg. Construct a 95% confidence interval for the mean weight of new born baby girls. (Be sure to show any work necessary, any formulas, and round your final answers to 2 decimal places)

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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