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 47.6 ​sec, use a 0.025 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. 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.)

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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 47.6 ​sec, use a 0.025 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.

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.)

 

**Service Times (in minutes)**

- Column 1: 295, 150, 140, 165, 161, 267, 281, 169, 142, 193, 178, 188, 130, 165, 109
- Column 2: 174, 185, 133, 198, 222, 308, 165, 140, 120, 143, 87, 318, 148, 136, 167
- Column 3: 171, 170, 187, 209, 135, 115, 197, 239, 196, 138, 213, 169, 68, 262, 137
- Column 4: 72, 189, 230, 153, 180, 157

This table displays a series of service times recorded in minutes. The data is arranged in four columns without specific headings or grouping. Each time value appears to be an individual data point, potentially representing different instances or service events. There are no graphs or diagrams associated with this table.
Transcribed Image Text:**Service Times (in minutes)** - Column 1: 295, 150, 140, 165, 161, 267, 281, 169, 142, 193, 178, 188, 130, 165, 109 - Column 2: 174, 185, 133, 198, 222, 308, 165, 140, 120, 143, 87, 318, 148, 136, 167 - Column 3: 171, 170, 187, 209, 135, 115, 197, 239, 196, 138, 213, 169, 68, 262, 137 - Column 4: 72, 189, 230, 153, 180, 157 This table displays a series of service times recorded in minutes. The data is arranged in four columns without specific headings or grouping. Each time value appears to be an individual data point, potentially representing different instances or service events. There are no graphs or diagrams associated with this table.
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