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1. The addition of a new accelerator is claimed to decrease the drying time of latex paint by more than 4%. Several test samples were conducted with the following percentage decrease in drying time: 5.2 6.4 3.8 6.3 4.1 2.8 3.2 4.7 (a) Construct a 95% confidence interval for the mean percentage decrease in drying time. (b) Based on the confidence interval in (a), can we conclude that the new accelerator decreases the drying time by more than 4%? Why?

1. The addition of a new accelerator is claimed to decrease the drying time of latex paint by more than 4%. Several test samples were conducted with the following percentage decrease in drying time: 5.2 6.4 3.8 6.3 4.1 2.8 3.2 4.7 (a) Construct a 95% confidence interval for the mean percentage decrease in drying time. (b) Based on the confidence interval in (a), can we conclude that the new accelerator decreases the drying time by more than 4%? Why?

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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### Decrease in Drying Time of Latex Paint Using a New Accelerator #### Problem Statement The addition of a new accelerator is claimed to decrease the drying time of latex paint by more than 4%. Several test samples were conducted with the following percentage decrease in drying time: - 5.2% - 6.4% - 3.8% - 6.3% - 4.1% - 2.8% - 3.2% - 4.7% #### Questions **(a)** Construct a 95% confidence interval for the mean percentage decrease in drying time. **(b)** Based on the confidence interval in (a), can we conclude that the new accelerator decreases the drying time by more than 4%? Why? --- #### Explanation for Graphs or Diagrams In this example, there are no specific graphs or diagrams provided. However, if this were to be visually explained, one might include a diagram showing: 1. **Data Points**: A scatter plot or bar graph showing each test sample’s percentage decrease in drying time. 2. **Confidence Interval**: A visual representation of the 95% confidence interval around the mean percentage decrease. This would help in understanding whether the interval lies entirely above 4%, which is crucial for concluding if the new accelerator achieves a decrease in drying time by more than 4%. --- **Note**: This analysis is purely theoretical and for educational purposes. Actual experimental data should be analyzed using appropriate statistical tools.
Transcribed Image Text:### Decrease in Drying Time of Latex Paint Using a New Accelerator #### Problem Statement The addition of a new accelerator is claimed to decrease the drying time of latex paint by more than 4%. Several test samples were conducted with the following percentage decrease in drying time: - 5.2% - 6.4% - 3.8% - 6.3% - 4.1% - 2.8% - 3.2% - 4.7% #### Questions **(a)** Construct a 95% confidence interval for the mean percentage decrease in drying time. **(b)** Based on the confidence interval in (a), can we conclude that the new accelerator decreases the drying time by more than 4%? Why? --- #### Explanation for Graphs or Diagrams In this example, there are no specific graphs or diagrams provided. However, if this were to be visually explained, one might include a diagram showing: 1. **Data Points**: A scatter plot or bar graph showing each test sample’s percentage decrease in drying time. 2. **Confidence Interval**: A visual representation of the 95% confidence interval around the mean percentage decrease. This would help in understanding whether the interval lies entirely above 4%, which is crucial for concluding if the new accelerator achieves a decrease in drying time by more than 4%. --- **Note**: This analysis is purely theoretical and for educational purposes. Actual experimental data should be analyzed using appropriate statistical tools.
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