Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X. 161.2 sec < p < 197.3 sec (Round to one decimal place as needed.) Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant Y. sec
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![**Drive-Through Service Time Analysis at Fast Food Restaurants**
This educational module focuses on analyzing the mean drive-through service times, measured in seconds, at dinner for two fast food restaurants, designated as Restaurant X and Restaurant Y. We will construct 95% confidence interval estimates for these times and compare the results.
### Instructions
1. **Data Overview:**
Refer to the data set provided in the image, which includes service times for both restaurants.
- **Restaurant Drive-Through Service Times:**
- *Restaurant X:* Includes service times of [83, 121, 116, 146, 264, 178, 122, 156, 165, …, 150].
- *Restaurant Y:* Includes service times of [103, 131, 151, 113, 179, 102, 132, 122, 129, …, 126].
2. **Confidence Interval Construction:**
- **Restaurant X:**
- Construct a 95% confidence interval for the mean drive-through service time.
- Calculated interval: \(161.2 \, \text{sec} < \mu < 197.3 \, \text{sec}\).
- Ensure that values are rounded to one decimal place as needed.
- **Restaurant Y:**
- Construct a 95% confidence interval for the mean drive-through service time.
- Enter the calculated values into the provided fields and check your answer to confirm accuracy.
3. **Graphical Support:**
- The image also references an accompanying table showing individual times for both restaurants, which can be used to manually verify calculations or understand data variability.
This exercise facilitates understanding of statistical analysis techniques, specifically the construction and interpretation of confidence intervals in a real-world context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd8a77b5-5a09-468e-84b3-a259ddc50800%2F55c02143-3bf2-4be9-999f-8b7562a7ff7d%2Fagpj34c_processed.jpeg&w=3840&q=75)
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