chix **Educational Website Content: Constructing 99% Confidence Intervals****Understanding Confidence Intervals for Service Times at Restaurants:**Objective:To construct a 99% confidence interval estimate of the mean drive-through service time at dinner for two fast food restaurants, labeled Restaurant X and Restaurant Y, and compare the results.**Step-by-Step Process:**1. **Constructing the Confidence Interval for Restaurant X:** - Calculate the interval estimate for the mean drive-through service time at dinner for Restaurant X. - Format: ` sec < μ < sec` - Ensure you round to one decimal place as needed.2. **Constructing the Confidence Interval for Restaurant Y:** - Calculate the interval estimate for the mean drive-through service time at dinner for Restaurant Y. - Format: ` sec < μ < sec` - Round to one decimal place as needed.3. **Comparing the Results:** - Evaluate whether the confidence intervals overlap, which impacts the interpretation of the service time differences between the two restaurants.**Interpretive Options (Based on the Results):**- **Option A:** The confidence intervals overlap, suggesting Restaurant X has a faster mean service time than Restaurant Y.- **Option B:** The intervals do not overlap, suggesting Restaurant X has a faster mean service time than Restaurant Y.- **Option C:** The intervals do not overlap, indicating no significant difference between the mean dinner times.- **Option D:** The intervals overlap, indicating no significant difference between the mean dinner times.**Conclusion:**Use the constructed confidence intervals to make inferences about the service efficiency between the two establishments during dinner time, considering the overlap or separation of intervals as the basis for analysis. **Restaurant Drive-Through Service Times****Service Times (seconds)**| Restaurant X | Restaurant Y ||--------------|--------------|| 82 | 99 || 125 | 130 || 121 | 155 || 150 | 120 || 260 | 170 || 178 | 131 || 127 | 111 || 151 | 136 || 160 | 125 || 213 | 192 || 331 | 131 || 311 | 114 || 175 | 265 || 116 | 312 || 196 | 217 || 431 | 245 || 146 | 98 || 98 | 125 || 237 | 96 || 240 | 243 || 149 | 147 || 183 | 234 || 373 | 197 || 202 | 114 || 173 | 148 || 115 | 113 || 139 | 223 || 139 | 167 || 172 | 134 || 150 | 233 || 196 | 99 || 201 | 186 || 245 | 251 || 263 | 227 || 206 | 200 || 215 | 191 || 128 | 91 || 153 | 170 || 359 | 91 || 110 | 81 || 149 | 146 || 181 | 134 || 153 | 95 || 171 | 126 || 155 | 146 || 169 | 134 || 128 | 189 || 133 | 146 || 310 | 126 || | 127 |This table presents the service times in seconds for two restaurants, X and Y, as measured at their drive-throughs. Each

Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 99% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner; then do the same for Restaurant Y. Compare the results. C Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec<μ

Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 99% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner; then do the same for Restaurant Y. Compare the results. C Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec<μ

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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Question

chix

**Educational Website Content: Constructing 99% Confidence Intervals**

**Understanding Confidence Intervals for Service Times at Restaurants:**

Objective:
To construct a 99% confidence interval estimate of the mean drive-through service time at dinner for two fast food restaurants, labeled Restaurant X and Restaurant Y, and compare the results.

**Step-by-Step Process:**

1. **Constructing the Confidence Interval for Restaurant X:**
- Calculate the interval estimate for the mean drive-through service time at dinner for Restaurant X.
- Format: `<lower bound> sec < μ < <upper bound> sec`
- Ensure you round to one decimal place as needed.

2. **Constructing the Confidence Interval for Restaurant Y:**
- Calculate the interval estimate for the mean drive-through service time at dinner for Restaurant Y.
- Format: `<lower bound> sec < μ < <upper bound> sec`
- Round to one decimal place as needed.

3. **Comparing the Results:**
- Evaluate whether the confidence intervals overlap, which impacts the interpretation of the service time differences between the two restaurants.

**Interpretive Options (Based on the Results):**

- **Option A:** The confidence intervals overlap, suggesting Restaurant X has a faster mean service time than Restaurant Y.
- **Option B:** The intervals do not overlap, suggesting Restaurant X has a faster mean service time than Restaurant Y.
- **Option C:** The intervals do not overlap, indicating no significant difference between the mean dinner times.
- **Option D:** The intervals overlap, indicating no significant difference between the mean dinner times.

**Conclusion:**
Use the constructed confidence intervals to make inferences about the service efficiency between the two establishments during dinner time, considering the overlap or separation of intervals as the basis for analysis.

**Restaurant Drive-Through Service Times**

**Service Times (seconds)**

| Restaurant X | Restaurant Y |
|--------------|--------------|
| 82 | 99 |
| 125 | 130 |
| 121 | 155 |
| 150 | 120 |
| 260 | 170 |
| 178 | 131 |
| 127 | 111 |
| 151 | 136 |
| 160 | 125 |
| 213 | 192 |
| 331 | 131 |
| 311 | 114 |
| 175 | 265 |
| 116 | 312 |
| 196 | 217 |
| 431 | 245 |
| 146 | 98 |
| 98 | 125 |
| 237 | 96 |
| 240 | 243 |
| 149 | 147 |
| 183 | 234 |
| 373 | 197 |
| 202 | 114 |
| 173 | 148 |
| 115 | 113 |
| 139 | 223 |
| 139 | 167 |
| 172 | 134 |
| 150 | 233 |
| 196 | 99 |
| 201 | 186 |
| 245 | 251 |
| 263 | 227 |
| 206 | 200 |
| 215 | 191 |
| 128 | 91 |
| 153 | 170 |
| 359 | 91 |
| 110 | 81 |
| 149 | 146 |
| 181 | 134 |
| 153 | 95 |
| 171 | 126 |
| 155 | 146 |
| 169 | 134 |
| 128 | 189 |
| 133 | 146 |
| 310 | 126 |
| | 127 |

This table presents the service times in seconds for two restaurants, X and Y, as measured at their drive-throughs. Each

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