Amusement Park Queues. 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 .?=0.05a. Use the Excel data analysis tool to perform the required test. b. What are the null and alternative hypothesis?c. What is the test statistic? What distribution does the test statistic follow?d. State your conclusions

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Amusement Park Queues. 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 .?=0.05a. Use the Excel data analysis tool to perform the required test. b. What are the null and alternative hypothesis?c. What is the test statistic? What distribution does the test statistic follow?d. State your conclusions.
This table presents data comparing the effectiveness of two methods across three different types of amusement park rides: Roller Coaster, Screaming Demon, and Log Flume. 

The rows categorize the data based on the method used, while the columns categorize it based on the type of ride. Each cell contains a numerical value representing a measurement or result associated with that specific combination of method and type of ride.

**Type of Ride:**
- **Roller Coaster**
- **Screaming Demon**
- **Log Flume**

**Method 1:**
- Roller Coaster: 41
- Screaming Demon: 52
- Log Flume: 50
- Roller Coaster: 43
- Screaming Demon: 44
- Log Flume: 46

**Method 2:**
- Roller Coaster: 49
- Screaming Demon: 50
- Log Flume: 48
- Roller Coaster: 51
- Screaming Demon: 46
- Log Flume: 44

This data can be used to analyze differences in the effectiveness or performance of each method for different ride types.
Transcribed Image Text:This table presents data comparing the effectiveness of two methods across three different types of amusement park rides: Roller Coaster, Screaming Demon, and Log Flume. The rows categorize the data based on the method used, while the columns categorize it based on the type of ride. Each cell contains a numerical value representing a measurement or result associated with that specific combination of method and type of ride. **Type of Ride:** - **Roller Coaster** - **Screaming Demon** - **Log Flume** **Method 1:** - Roller Coaster: 41 - Screaming Demon: 52 - Log Flume: 50 - Roller Coaster: 43 - Screaming Demon: 44 - Log Flume: 46 **Method 2:** - Roller Coaster: 49 - Screaming Demon: 50 - Log Flume: 48 - Roller Coaster: 51 - Screaming Demon: 46 - Log Flume: 44 This data can be used to analyze differences in the effectiveness or performance of each method for different ride types.
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