The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 103.2 68.1 80.7 96.5 58.1 86.7 76.0 72.9 65.0 82.8 E Click the icon to view the table of correlation coefficient critical values. Ho: H = 87.6 H: H < 87.6 Find the test statistic.

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The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below.

**Hypotheses:**

- \( H_0: \mu = 87.6 \)
- \( H_1: \mu < 87.6 \)

Find the test statistic.

- \( t_0 = \) [ ]

**Wait Times Table:**

- Row 1: 103.2, 80.7
- Row 2: 68.1, 96.5
- Row 3: 58.1, 86.7
- Row 4: 76.0, 72.9
- Row 5: 65.0, 82.8

> **Note:** Click the icon to view the table of correlation coefficient critical values. 

The task is to determine if the new system significantly reduces the average wait time. Fill in the test statistic in the provided space to complete the test.
Transcribed Image Text:The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. **Hypotheses:** - \( H_0: \mu = 87.6 \) - \( H_1: \mu < 87.6 \) Find the test statistic. - \( t_0 = \) [ ] **Wait Times Table:** - Row 1: 103.2, 80.7 - Row 2: 68.1, 96.5 - Row 3: 58.1, 86.7 - Row 4: 76.0, 72.9 - Row 5: 65.0, 82.8 > **Note:** Click the icon to view the table of correlation coefficient critical values. The task is to determine if the new system significantly reduces the average wait time. Fill in the test statistic in the provided space to complete the test.
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