An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a 0.05. Type of Ride Roller Coaster Screaming Demon Log Flume 41 54 48 Method 1 43 46 44 49 48 50 Method 2 51 44 46 Find the value of the test statistic for method of loading and unloading. Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value= State your conclusion about method of loading and unloading. Because the p-value sa = 0.05, method of loading and unloading is not significant. O Because the p-value> a = 0.05, method of loading and unloading is significant. Because the p-value sa = 0.05, method of loading and unloading is significant. Because the p-value > a = 0.05, method of loading and unloading is not significant. Find the value of the test statistic for type of ride. Find the p-value for type of ride. (Round your answer to three decimal places.) p-value = [ State your conclusion about type of ride. Because the p-value sa = 0.05, type of ride is significant. Because the p-value > a = 0.05, type of ride is significant. Because the p-value sa = 0.05, type of ride is not significant. Because the p-value > a = 0.05, type of ride is not significant. Find the value of the test statistic for interaction between method of loading and unloading and type of ride. Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.) o-value=
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a 0.05. Type of Ride Roller Coaster Screaming Demon Log Flume 41 54 48 Method 1 43 46 44 49 48 50 Method 2 51 44 46 Find the value of the test statistic for method of loading and unloading. Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value= State your conclusion about method of loading and unloading. Because the p-value sa = 0.05, method of loading and unloading is not significant. O Because the p-value> a = 0.05, method of loading and unloading is significant. Because the p-value sa = 0.05, method of loading and unloading is significant. Because the p-value > a = 0.05, method of loading and unloading is not significant. Find the value of the test statistic for type of ride. Find the p-value for type of ride. (Round your answer to three decimal places.) p-value = [ State your conclusion about type of ride. Because the p-value sa = 0.05, type of ride is significant. Because the p-value > a = 0.05, type of ride is significant. Because the p-value sa = 0.05, type of ride is not significant. Because the p-value > a = 0.05, type of ride is not significant. Find the value of the test statistic for interaction between method of loading and unloading and type of ride. Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.) o-value=
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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![### Evaluating Loading and Unloading Methods for Decreasing Wait Time
#### Research Overview
An amusement park conducted a study to assess methods for decreasing waiting times for rides by implementing different loading and unloading strategies. The study examined two alternative methods to improve efficiency. It also considered potential differences in waiting times due to the type of ride and analyzed the possible interactions between loading/unloading methods and ride types. This was done through a factorial experiment, with a significance level of α = 0.05.
#### Data Summary
The study included data on three types of rides: Roller Coaster, Screaming Demon, and Log Flume. Two methods for loading and unloading were tested:
| Method | Type of Ride | Wait Time (minutes) |
|--------|-------------------|---------------------|
| | Roller Coaster | Screaming Demon | Log Flume |
| **Method 1** | 41 | 54 | 48 |
| **Method 2** | 43 | 49 | 44 |
| **Method 1** | 49 | 46 | 50 |
| **Method 2** | 51 | 44 | 46 |
#### Statistical Analysis
Three factors were evaluated for their significance:
1. Method of loading and unloading
2. Type of ride
3. Interaction between method and type of ride
##### 1. Method of Loading and Unloading
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the effect of the method of loading and unloading is not significant.
##### 2. Type of Ride
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the type of ride does not significantly affect the wait time.
##### 3. Interaction Between Method of Loading/Unloading and Type of Ride
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the interaction between the method of loading/unloading and the type of ride is not significant.
#### Summary
The study's results indicate that neither the method of loading and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4959d4f7-c515-4b84-8a14-00389cef5562%2Fd266220c-5b15-4306-88d8-469e54f2f2b9%2Fh113m6h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Evaluating Loading and Unloading Methods for Decreasing Wait Time
#### Research Overview
An amusement park conducted a study to assess methods for decreasing waiting times for rides by implementing different loading and unloading strategies. The study examined two alternative methods to improve efficiency. It also considered potential differences in waiting times due to the type of ride and analyzed the possible interactions between loading/unloading methods and ride types. This was done through a factorial experiment, with a significance level of α = 0.05.
#### Data Summary
The study included data on three types of rides: Roller Coaster, Screaming Demon, and Log Flume. Two methods for loading and unloading were tested:
| Method | Type of Ride | Wait Time (minutes) |
|--------|-------------------|---------------------|
| | Roller Coaster | Screaming Demon | Log Flume |
| **Method 1** | 41 | 54 | 48 |
| **Method 2** | 43 | 49 | 44 |
| **Method 1** | 49 | 46 | 50 |
| **Method 2** | 51 | 44 | 46 |
#### Statistical Analysis
Three factors were evaluated for their significance:
1. Method of loading and unloading
2. Type of ride
3. Interaction between method and type of ride
##### 1. Method of Loading and Unloading
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the effect of the method of loading and unloading is not significant.
##### 2. Type of Ride
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the type of ride does not significantly affect the wait time.
##### 3. Interaction Between Method of Loading/Unloading and Type of Ride
- **Test Statistic Value**: [To be determined]
- **p-value**: [To be determined]
##### Conclusion:
Since the p-value is greater than the significance level (α = 0.05), the interaction between the method of loading/unloading and the type of ride is not significant.
#### Summary
The study's results indicate that neither the method of loading and
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