Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X.
Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X.
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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Transcribed Image Text:**Drive-Through Service Time Analysis**
This educational resource provides data on the mean drive-through service times during dinner at two fast-food restaurants, Restaurant X and Restaurant Y. The objective is to construct a 99% confidence interval estimate of the mean service time for each restaurant and compare the results.
### Data Summary:
**Service Times (seconds):**
- **Restaurant X:**
- 81, 123, 120, 145, 265
- 184, 126, 149, 161, 217
- 330, 307, 178, 109, 152
- 145, 92, 233, 237, 185
- 152, 202, 165, 123, 60
- 204, 175, 115, 138, 178
- 190, 196, 227, 191, 350
- 306, 208, 201, 178, 187
- 108, 148, 175, 155, 176
- 157, 163, 120, 140, 312
- **Restaurant Y:**
- 100, 125, 149, 114, 177
- 131, 114, 128, 133, 131
- 139, 230, 217, 295, 93
- 138, 241, 140, 202
- 147, 139, 134, 147
- 161, 132, 169, 134
- 230, 252, 231, 234, 85
- 107, 56, 170, 81, 149
- 143, 95, 126, 131
- 185, 145, 127
### Instructions:
1. **Calculate the 99% Confidence Interval:**
- For Restaurant X, compute the 99% confidence interval based on the provided service times.
- Repeat the same process for Restaurant Y.
2. **Comparison and Analysis:**
- Compare the results between Restaurant X and Restaurant Y to analyze differences in service efficiency.
- Discuss factors that might contribute to variations in service times.
3. **Statistical Rounding:**
-
Expert Solution
Step 1
From given we have :
n=50
| Restaurat X |
| 81 |
| 123 |
| 120 |
| 145 |
| 265 |
| 184 |
| 126 |
| 149 |
| 161 |
| 109 |
| 217 |
| 152 |
| 330 |
| 307 |
| 178 |
| 145 |
| 92 |
| 233 |
| 237 |
| 185 |
| 152 |
| 202 |
| 165 |
| 123 |
| 60 |
| 204 |
| 175 |
| 115 |
| 138 |
| 178 |
| 190 |
| 196 |
| 227 |
| 191 |
| 350 |
| 306 |
| 208 |
| 201 |
| 178 |
| 187 |
| 108 |
| 148 |
| 175 |
| 155 |
| 176 |
| 157 |
| 163 |
| 120 |
| 140 |
| 312 |
| TOTAL=8939 |
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