The accompanying data are​ drive-through service times​ (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the​ restaurant's competitor have standard deviation sigma equals 50.1 ​sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its​competitor's restaurant. Use the accompanying data to identify the null​ hypothesis, alternative​ hypothesis, test​ statistic,and​ P-value. Then state a conclusion about the null hypothesis.   a. Compute the test statistic. chi squared equals ​(Round to two decimal places as​ needed.)   b. Find the​ P-value of the test statistic. The​ P-value of the test statistic is   ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The accompanying data are​ drive-through service times​ (seconds) recorded at a fast food restaurant during dinner times. Assuming that dinner service times at the​ restaurant's competitor have standard deviation sigma equals 50.1 ​sec, use a 0.01 significance level to test the claim that service times at the restaurant have the same variation as service times at its​competitor's restaurant. Use the accompanying data to identify the null​ hypothesis, alternative​ hypothesis, test​ statistic,and​ P-value. Then state a conclusion about the null hypothesis.

 

a. Compute the test statistic.
chi squared equals
​(Round to two decimal places as​ needed.)
 
b. Find the​ P-value of the test statistic.
The​ P-value of the test statistic is
 
​(Round to three decimal places as​ needed.)
Below is the transcription of the table titled "Service Times (in minutes)": 

| 285 | 136 | 177 | 196 |
|-----|-----|-----|-----|
| 179 | 164 | 147 | 174 |
| 141 | 138 | 112 | 158 |
|  99 | 159 | 250 | 136 |
| 149 | 279 | 176 | 135 |
|  91 |  84 | 213 | 182 |
| 268 | 154 | 162 |     |
| 114 |  69 | 235 |     |
| 139 |  69 | 212 |     |
| 138 | 138 | 154 |     |
| 127 | 241 | 251 |     |
| 120 |  72 | 219 |     |
| 120 | 192 | 168 |     |
| 130 | 332 | 184 |     |
| 154 | 128 | 174 |     |

This table presents a dataset of service times recorded in minutes. The service times are organized into columns, each representing a separate set of data within the same context. The numbers reflect the duration of each service event.
Transcribed Image Text:Below is the transcription of the table titled "Service Times (in minutes)": | 285 | 136 | 177 | 196 | |-----|-----|-----|-----| | 179 | 164 | 147 | 174 | | 141 | 138 | 112 | 158 | | 99 | 159 | 250 | 136 | | 149 | 279 | 176 | 135 | | 91 | 84 | 213 | 182 | | 268 | 154 | 162 | | | 114 | 69 | 235 | | | 139 | 69 | 212 | | | 138 | 138 | 154 | | | 127 | 241 | 251 | | | 120 | 72 | 219 | | | 120 | 192 | 168 | | | 130 | 332 | 184 | | | 154 | 128 | 174 | | This table presents a dataset of service times recorded in minutes. The service times are organized into columns, each representing a separate set of data within the same context. The numbers reflect the duration of each service event.
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