Fill in the correct values. (Round your answers to three decimal places.) The 90% confidence interval for the mean is Ib to Ib.
Fill in the correct values. (Round your answers to three decimal places.) The 90% confidence interval for the mean is Ib to Ib.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
100%
![**Section (b): Confidence Interval Calculation**
**Objective:** Calculate the 90% confidence interval for the mean.
- **Task:** Fill in the correct values, rounding your answers to three decimal places.
- 90% confidence interval for the mean is from [_________] lb to [_________] lb.
**Instructions:** Select the correct description(s) of this interval. More than one option may apply.
- [ ] The interval is found by adding and subtracting a multiple of the mean to the standard error mean.
- [ ] The interval is found by adding and subtracting a multiple of the standard error mean from the mean.
- [ ] The mean of the sample is equal to the mean of the population.
- [ ] There is a 10% chance that the confidence interval does not contain the mean weight of the school.
- [ ] There is a 10% chance the mean weight of the school is above the larger number in the interval.
- [ ] There is a 90% chance that the confidence interval contains the mean weight of the school.
**Section (c): Confidence Interval Analysis**
**Objective:** Calculate the 99% confidence interval for the mean.
- **Task:** Fill in the correct values, rounding your answers to three decimal places.
- There is a 1% chance the mean weight of the school is outside the interval [_________] lb to [_________] lb.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F2c61a887-42e7-41a8-82e1-484bbcdbb652%2Fighv_processed.png&w=3840&q=75)
Transcribed Image Text:**Section (b): Confidence Interval Calculation**
**Objective:** Calculate the 90% confidence interval for the mean.
- **Task:** Fill in the correct values, rounding your answers to three decimal places.
- 90% confidence interval for the mean is from [_________] lb to [_________] lb.
**Instructions:** Select the correct description(s) of this interval. More than one option may apply.
- [ ] The interval is found by adding and subtracting a multiple of the mean to the standard error mean.
- [ ] The interval is found by adding and subtracting a multiple of the standard error mean from the mean.
- [ ] The mean of the sample is equal to the mean of the population.
- [ ] There is a 10% chance that the confidence interval does not contain the mean weight of the school.
- [ ] There is a 10% chance the mean weight of the school is above the larger number in the interval.
- [ ] There is a 90% chance that the confidence interval contains the mean weight of the school.
**Section (c): Confidence Interval Analysis**
**Objective:** Calculate the 99% confidence interval for the mean.
- **Task:** Fill in the correct values, rounding your answers to three decimal places.
- There is a 1% chance the mean weight of the school is outside the interval [_________] lb to [_________] lb.
![**Student Weight Analysis**
The weights, in pounds, of 20 students at a local school have been sampled and recorded in the following analysis.
**Histogram and Box Plot:**
- The central histogram represents the distribution of student weights. It shows a concentration of students in the 160-200 pound range, with the tallest bar appearing around 180 pounds.
- The box plot above the histogram indicates the median, quartiles, and potential outliers. The median weight is marked at 176 pounds, with one outlier above 240 pounds.
**Quantiles Table:**
- Maximum weight: 247 pounds
- Upper and lower percentiles provide additional insights: 210.1 (90th percentile), 192.5 (75th percentile or upper quartile), 176 (median), 158.25 (25th percentile or lower quartile), and 138 (minimum weight).
**Summary Statistics:**
- Mean weight: 178.6 pounds
- Standard deviation (Std Dev): 24.690505
- Standard error of the mean (Std Err Mean): 5.5209648
**Confidence Intervals:**
- 90% Confidence Interval for Mean:
- Estimate: 178.6
- Lower CI: 169.0535
- Upper CI: 188.1465
- 99% Confidence Interval for Mean:
- Estimate: 178.6
- Lower CI: 162.8049
- Upper CI: 194.3951
For Std Dev:
- 90% Confidence Interval: Lower CI = 19.60242, Upper CI = 33.83613
- 99% Confidence Interval: Lower CI = 17.32658, Upper CI = 41.1389
**Additional Details:**
- Sample size (N): 20 students
- The data suggests variability in weights, with a tendency towards the mean of 178.6 pounds, depicted through a typical distribution spread shown by the standard deviation and accompanying confidence intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f11b0a5-f758-48c2-911f-774d5e291a60%2F2c61a887-42e7-41a8-82e1-484bbcdbb652%2Frldbz7o_processed.png&w=3840&q=75)
Transcribed Image Text:**Student Weight Analysis**
The weights, in pounds, of 20 students at a local school have been sampled and recorded in the following analysis.
**Histogram and Box Plot:**
- The central histogram represents the distribution of student weights. It shows a concentration of students in the 160-200 pound range, with the tallest bar appearing around 180 pounds.
- The box plot above the histogram indicates the median, quartiles, and potential outliers. The median weight is marked at 176 pounds, with one outlier above 240 pounds.
**Quantiles Table:**
- Maximum weight: 247 pounds
- Upper and lower percentiles provide additional insights: 210.1 (90th percentile), 192.5 (75th percentile or upper quartile), 176 (median), 158.25 (25th percentile or lower quartile), and 138 (minimum weight).
**Summary Statistics:**
- Mean weight: 178.6 pounds
- Standard deviation (Std Dev): 24.690505
- Standard error of the mean (Std Err Mean): 5.5209648
**Confidence Intervals:**
- 90% Confidence Interval for Mean:
- Estimate: 178.6
- Lower CI: 169.0535
- Upper CI: 188.1465
- 99% Confidence Interval for Mean:
- Estimate: 178.6
- Lower CI: 162.8049
- Upper CI: 194.3951
For Std Dev:
- 90% Confidence Interval: Lower CI = 19.60242, Upper CI = 33.83613
- 99% Confidence Interval: Lower CI = 17.32658, Upper CI = 41.1389
**Additional Details:**
- Sample size (N): 20 students
- The data suggests variability in weights, with a tendency towards the mean of 178.6 pounds, depicted through a typical distribution spread shown by the standard deviation and accompanying confidence intervals.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman