Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 95% 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. Click the icon to view the data on drive-through service times. Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec<μ< sec (Round to one decimal place as needed.)
Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 95% 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. Click the icon to view the data on drive-through service times. Construct a 95% confidence interval of the mean drive-through service times at dinner for Restaurant X. sec<μ< sec (Round to one decimal place as needed.)
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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![**Constructing Confidence Intervals for Mean Drive-Through Service Times**
**Objective:**
We're going to construct a 95% confidence interval estimate of the mean drive-through service time for two fast food restaurants, Restaurant X and Restaurant Y, during dinner time. Once we have calculated the intervals, we will compare the results.
**Instructions:**
1. Refer to the accompanying data set of mean drive-through service times at dinner in seconds for the two fast food restaurants.
2. Construct a 95% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner.
3. Then, construct the same for Restaurant Y.
4. Compare the results.
**Procedure:**
**Step 1: Data Access**
- Click the icon provided to view the data on drive-through service times.
**Step 2: Construct Confidence Interval for Restaurant X**
- Use the formula for the confidence interval: \(\bar{X} \pm t_{\alpha/2} \left(\frac{s}{\sqrt{n}}\right)\)
- where \(\bar{X}\) is the sample mean, \(t_{\alpha/2}\) is the t-score for a 95% confidence level, \(s\) is the sample standard deviation, and \(n\) is the sample size.
- Insert these values into the formula to calculate the interval.
**Representation:**
- Fill in the boxes with the calculated values.
- \[\text{Lower bound} \ < \ \mu \ < \ \text{Upper bound}\]
- (Round to one decimal place as needed.)
**Example:**
\[
130.2 \ < \ \mu \ < \ 150.6
\]
**Step 3: Repeat for Restaurant Y**
- Follow the same procedure to calculate the confidence interval for Restaurant Y.
**Step 4: Compare Intervals**
- After constructing the intervals for both Restaurant X and Restaurant Y, analyze the intervals to see which restaurant has a more consistent (narrower interval) and quicker (lower average) service time.
By following these steps, you will better understand the variability and performance of the drive-through service times for these two fast food restaurants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49a5c0da-d10b-4c66-9f47-a76740d10419%2F19626f46-f4da-4dc9-b581-214d9f1f4d3a%2Foh4w0u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Constructing Confidence Intervals for Mean Drive-Through Service Times**
**Objective:**
We're going to construct a 95% confidence interval estimate of the mean drive-through service time for two fast food restaurants, Restaurant X and Restaurant Y, during dinner time. Once we have calculated the intervals, we will compare the results.
**Instructions:**
1. Refer to the accompanying data set of mean drive-through service times at dinner in seconds for the two fast food restaurants.
2. Construct a 95% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner.
3. Then, construct the same for Restaurant Y.
4. Compare the results.
**Procedure:**
**Step 1: Data Access**
- Click the icon provided to view the data on drive-through service times.
**Step 2: Construct Confidence Interval for Restaurant X**
- Use the formula for the confidence interval: \(\bar{X} \pm t_{\alpha/2} \left(\frac{s}{\sqrt{n}}\right)\)
- where \(\bar{X}\) is the sample mean, \(t_{\alpha/2}\) is the t-score for a 95% confidence level, \(s\) is the sample standard deviation, and \(n\) is the sample size.
- Insert these values into the formula to calculate the interval.
**Representation:**
- Fill in the boxes with the calculated values.
- \[\text{Lower bound} \ < \ \mu \ < \ \text{Upper bound}\]
- (Round to one decimal place as needed.)
**Example:**
\[
130.2 \ < \ \mu \ < \ 150.6
\]
**Step 3: Repeat for Restaurant Y**
- Follow the same procedure to calculate the confidence interval for Restaurant Y.
**Step 4: Compare Intervals**
- After constructing the intervals for both Restaurant X and Restaurant Y, analyze the intervals to see which restaurant has a more consistent (narrower interval) and quicker (lower average) service time.
By following these steps, you will better understand the variability and performance of the drive-through service times for these two fast food restaurants.
Transcribed Image Text:### Restaurant Drive-Through Service Times
The table below presents the service times (in seconds) for two different restaurants, Restaurant X and Restaurant Y.
**Service Times (seconds)**
| Restaurant X | Restaurant Y |
|--------------|--------------|
| 86 | 104 |
| 184 | 122 |
| 120 | 149 |
| 119 | 118 |
| 120 | 174 |
| 157 | 208 |
| 153 | 120 |
| 148 | 126 |
| 108 | 131 |
| 153 | 132 |
| 135 | 137 |
| 137 | 231 |
| 244 | 216 |
| 208 | 296 |
| 232 | 130 |
| 244 | 92 |
| 181 | 137 |
| 152 | 248 |
| 149 | 126 |
| 199 | 62 |
| 170 | 145 |
| 149 | 153 |
| 184 | 140 |
| 173 | 190 |
| 117 | 169 |
| 234 | 159 |
| 108 | 134 |
| 170 | 165 |
| 117 | 136 |
| 149 | 166 |
| 108 | 156 |
| 180 | 237 |
| 357 | 126 |
| 238 | 248 |
| 233 | 237 |
| 205 | 231 |
| 206 | 64 |
| 195 | 84 |
| 80 | 101 |
| 192 | 57 |
| 173 | 175 |
| 109 | 72 |
| 147 | 148 |
| 172 | 101 |
| 60 | 100 |
| 180 | 128 |
| 167 | 72 |
| 72 | 148 |
| 148 | 183 |
| 167 | 183 |
|
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