Baby weight: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. 12.66 8.63 11.87 12.32 10.30 12.34 14.13 9.34 12.23 11.48 Part: 0/2 Part 1 of 2 Send data to Excel Construct a 90% interval for the mean weight of two-month-old baby girls. Round the answers to three decimal places. A 90% confidence interval for the mean weight of two-month-old baby girls is << . X S
Baby weight: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. 12.66 8.63 11.87 12.32 10.30 12.34 14.13 9.34 12.23 11.48 Part: 0/2 Part 1 of 2 Send data to Excel Construct a 90% interval for the mean weight of two-month-old baby girls. Round the answers to three decimal places. A 90% confidence interval for the mean weight of two-month-old baby girls is << . X S
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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![**Baby Weight Analysis**
**Data:** Below are the weights, in pounds, of 10 two-month-old baby girls. It is assumed that the population is approximately normal.
- 12.66, 11.87, 12.32, 10.30, 12.34
- 8.63, 14.13, 9.34, 12.23, 11.48
**Task Overview:**
**Objective:** Construct a 90% confidence interval for the mean weight of two-month-old baby girls. Ensure to round the answers to three decimal places.
**Instruction:** A 90% confidence interval for the mean weight of two-month-old baby girls is represented as \( x < \mu < y \). Fill in the values for \( x \) and \( y \).
**Procedure:**
1. Compute the sample mean (\(\bar{x}\)) and sample standard deviation (\(s\)).
2. Determine the critical value (z*) corresponding to 90% confidence.
3. Use the formula for a confidence interval:
\[
\bar{x} \pm z^* \left(\frac{s}{\sqrt{n}}\right)
\]
where \(n\) is the number of samples.
This exercise involves statistical calculations typically carried out using statistical software or calculators to ensure precision, particularly with rounding to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87b92f43-2f4d-4033-8a65-475879bd1817%2F79a8e96b-ba66-47bf-b5b4-151303920f24%2F1l8hwmk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Baby Weight Analysis**
**Data:** Below are the weights, in pounds, of 10 two-month-old baby girls. It is assumed that the population is approximately normal.
- 12.66, 11.87, 12.32, 10.30, 12.34
- 8.63, 14.13, 9.34, 12.23, 11.48
**Task Overview:**
**Objective:** Construct a 90% confidence interval for the mean weight of two-month-old baby girls. Ensure to round the answers to three decimal places.
**Instruction:** A 90% confidence interval for the mean weight of two-month-old baby girls is represented as \( x < \mu < y \). Fill in the values for \( x \) and \( y \).
**Procedure:**
1. Compute the sample mean (\(\bar{x}\)) and sample standard deviation (\(s\)).
2. Determine the critical value (z*) corresponding to 90% confidence.
3. Use the formula for a confidence interval:
\[
\bar{x} \pm z^* \left(\frac{s}{\sqrt{n}}\right)
\]
where \(n\) is the number of samples.
This exercise involves statistical calculations typically carried out using statistical software or calculators to ensure precision, particularly with rounding to three decimal places.
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