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Confidence Interval for MEANS Enter Values in the Yellow Boxes Below Sample Size n Sample Mean x-bar (careful with rounding!) Population Standard Deviation o Confidence Level (click drop down) Margin of Error E (only enter if given) Z critical value Margin of Error Minimum Sample Size Confidence Interval for the Mean 74.4830028079585 <= µ <= 85.9769971920415 30 80.23 16.06 95% 1.96 5.74700 ΝΑ

Confidence Interval for MEANS Enter Values in the Yellow Boxes Below Sample Size n Sample Mean x-bar (careful with rounding!) Population Standard Deviation o Confidence Level (click drop down) Margin of Error E (only enter if given) Z critical value Margin of Error Minimum Sample Size Confidence Interval for the Mean 74.4830028079585 <= µ <= 85.9769971920415 30 80.23 16.06 95% 1.96 5.74700 ΝΑ

MATLAB: An Introduction with Applications
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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Using a quantitative variable of pounds lost in the first year after weight loss surgery, I have created 30 sample data values ranging from 50-113. The mean is 80.23. Based on the formula provided and a 95% confidence interval, the margin of error, E, is 5.75.

  • Do you agree with the margin of error, E, that was calculated? If yes, what is the margin of error and what does it tell you? If not, correct it showing the correct steps.
  • Do you think that it is ever possible to use a sample to estimate a population parameter with 100% accuracy? Explain.

 

### Weight Loss Data Analysis #### Data Table: The table below represents the pounds lost by individuals over a certain period. This data is organized into two columns. | Lbs. | Lost | |------|------| | 110 | 72 | | 82 | 113 | | 64 | 94 | | 91 | 61 | | 104 | 72 | | 85 | 83 | | 77 | 94 | | 50 | 55 | | 81 | 64 | | 96 | 75 | | 74 | 86 | | 91 | 97 | | 66 | 51 | | 80 | 82 | | 82 | 75 | #### Statistical Analysis: - **Average (Mean):** The average number of pounds lost is calculated to be **80.23**. - **Standard Deviation:** The standard deviation of the pounds lost is calculated to be **16.06**. --- This table can be useful for understanding the distribution and variability of weight loss outcomes in a particular group of individuals. The average provides a central value to the data, while the standard deviation indicates the degree of variation from this average.
Transcribed Image Text:### Weight Loss Data Analysis #### Data Table: The table below represents the pounds lost by individuals over a certain period. This data is organized into two columns. | Lbs. | Lost | |------|------| | 110 | 72 | | 82 | 113 | | 64 | 94 | | 91 | 61 | | 104 | 72 | | 85 | 83 | | 77 | 94 | | 50 | 55 | | 81 | 64 | | 96 | 75 | | 74 | 86 | | 91 | 97 | | 66 | 51 | | 80 | 82 | | 82 | 75 | #### Statistical Analysis: - **Average (Mean):** The average number of pounds lost is calculated to be **80.23**. - **Standard Deviation:** The standard deviation of the pounds lost is calculated to be **16.06**. --- This table can be useful for understanding the distribution and variability of weight loss outcomes in a particular group of individuals. The average provides a central value to the data, while the standard deviation indicates the degree of variation from this average.
### Confidence Interval for Means #### Instructions: Enter Values in the Yellow Boxes Below 1. **Sample Size (n):** 30 2. **Sample Mean (x̄):** 80.23 (be careful with rounding!) 3. **Population Standard Deviation (σ):** 16.06 4. **Confidence Level:** 95% (select from the drop-down menu) 5. **Margin of Error (E):** (only enter if given) #### Calculated Values: - **Z critical value:** 1.96 - **Margin of Error:** 5.74700 - **Minimum Sample Size:** Not Applicable (NA) #### Conclusion: - **Confidence Interval for the Mean:** \( 74.4830028079585 \leq \mu \leq 85.976971920415 \) This interval suggests that we are 95% confident that the true population mean (μ) lies between 74.4830 and 85.9770.
Transcribed Image Text:### Confidence Interval for Means #### Instructions: Enter Values in the Yellow Boxes Below 1. **Sample Size (n):** 30 2. **Sample Mean (x̄):** 80.23 (be careful with rounding!) 3. **Population Standard Deviation (σ):** 16.06 4. **Confidence Level:** 95% (select from the drop-down menu) 5. **Margin of Error (E):** (only enter if given) #### Calculated Values: - **Z critical value:** 1.96 - **Margin of Error:** 5.74700 - **Minimum Sample Size:** Not Applicable (NA) #### Conclusion: - **Confidence Interval for the Mean:** \( 74.4830028079585 \leq \mu \leq 85.976971920415 \) This interval suggests that we are 95% confident that the true population mean (μ) lies between 74.4830 and 85.9770.
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