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
Related questions
Question
chix

Transcribed Image Text:**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.

Transcribed Image Text:**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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 11 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman