Baby weights: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. 12.34 11.48 12.66 8.51 14.13 12.95 10.30 9.34 12.23 12.32 Send data to Excel (a) Construct a 98% confidence interval for the mean weight of two-month-old baby girls. (b) According to the National Health Statistics Reports, the mean weight of two-month-old baby boys is 14.1 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys? Explain. Part: 0/2 Part 1 of 2 (a) A 98% confidence interval for the mean weight of two-month-old baby girls is << (Round the answers to at least three decimal places.) Part: 1/2 Part 2 of 2 reasonable to believe that the mean weight of two-month-old baby girls may be the same as that (b) It (Choose one) of two-month-old baby boys. Submit Assignment
Baby weights: Following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal. 12.34 11.48 12.66 8.51 14.13 12.95 10.30 9.34 12.23 12.32 Send data to Excel (a) Construct a 98% confidence interval for the mean weight of two-month-old baby girls. (b) According to the National Health Statistics Reports, the mean weight of two-month-old baby boys is 14.1 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys? Explain. Part: 0/2 Part 1 of 2 (a) A 98% confidence interval for the mean weight of two-month-old baby girls is << (Round the answers to at least three decimal places.) Part: 1/2 Part 2 of 2 reasonable to believe that the mean weight of two-month-old baby girls may be the same as that (b) It (Choose one) of two-month-old baby boys. Submit Assignment
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 Weights Analysis
**Baby weights:** The following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal.
| Weight (in pounds) | 12.34 | 11.48 | 12.66 | 8.51 | 14.13 | 12.95 | 10.30 | 9.34 | 12.23 | 12.32 |
**Actions:**
- Send data to Excel
### Tasks:
**(a)** Construct a 98% confidence interval for the mean weight of two-month-old baby girls.
**(b)** According to the National Health Statistics Reports, the mean weight of two-month-old baby boys is 14.1 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys? Explain.
#### Part 1 of 2
**(a)** A 98% confidence interval for the mean weight of two-month-old baby girls is \( \boxed{} < \mu < \boxed{} \). (Round the answers to at least three decimal places.)
#### Part 2 of 2
**(b)** It \( \boxed{\text{Choose one}} \) reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
**Note:** The interface includes options to input answers and select responses, as well as a progress bar indicating task completion.
#### Submission
- Use the button below to submit your assignment upon completion.
---
### How to Calculate the Confidence Interval
**Step-by-Step Guide:**
1. **Calculate the sample mean (\(\bar{x}\)) and sample standard deviation (s)** from the given weights.
2. **Determine the appropriate z-value** for a 98% confidence interval.
3. **Calculate the margin of error (E)** using the formula:
\[ E = z \left(\frac{s}{\sqrt{n}}\right) \]
4. **Construct the confidence interval** using the formula:
\[ \text{Confidence Interval} = \bar{x} \pm E \]
#### Example using the given weights
1. Calculate the sample mean:
\[ \bar{x} = \frac{12.34 + 11.48 + 12.66 + 8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ac0b19d-05a9-491c-8461-6accbb8703ad%2F7ada630d-7a1f-42bb-9226-0bb8a92bf512%2Fjreif6n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Baby Weights Analysis
**Baby weights:** The following are weights, in pounds, of 10 two-month-old baby girls. It is reasonable to assume that the population is approximately normal.
| Weight (in pounds) | 12.34 | 11.48 | 12.66 | 8.51 | 14.13 | 12.95 | 10.30 | 9.34 | 12.23 | 12.32 |
**Actions:**
- Send data to Excel
### Tasks:
**(a)** Construct a 98% confidence interval for the mean weight of two-month-old baby girls.
**(b)** According to the National Health Statistics Reports, the mean weight of two-month-old baby boys is 14.1 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys? Explain.
#### Part 1 of 2
**(a)** A 98% confidence interval for the mean weight of two-month-old baby girls is \( \boxed{} < \mu < \boxed{} \). (Round the answers to at least three decimal places.)
#### Part 2 of 2
**(b)** It \( \boxed{\text{Choose one}} \) reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
**Note:** The interface includes options to input answers and select responses, as well as a progress bar indicating task completion.
#### Submission
- Use the button below to submit your assignment upon completion.
---
### How to Calculate the Confidence Interval
**Step-by-Step Guide:**
1. **Calculate the sample mean (\(\bar{x}\)) and sample standard deviation (s)** from the given weights.
2. **Determine the appropriate z-value** for a 98% confidence interval.
3. **Calculate the margin of error (E)** using the formula:
\[ E = z \left(\frac{s}{\sqrt{n}}\right) \]
4. **Construct the confidence interval** using the formula:
\[ \text{Confidence Interval} = \bar{x} \pm E \]
#### Example using the given weights
1. Calculate the sample mean:
\[ \bar{x} = \frac{12.34 + 11.48 + 12.66 + 8
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