The owner of a large car dealership believes that the financial crisis decreased the number of customers visiting her dealership. The dealership has historically had 800 customers per day. The owner takes a sample of 100 days and finds the average number of customers visiting the dealership per day was 750. Assume that the population standard deviation is 350. To determine whether there has been a decrease in the average number of customers visiting the dealership daily, the appropriate hypotheses are __________

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The owner of a large car dealership believes that the financial crisis decreased the number of customers visiting her dealership. The dealership has historically had 800 customers per day. The owner takes a sample of 100 days and finds the average number of customers visiting the dealership per day was 750. Assume that the population standard deviation is 350. To determine whether there has been a decrease in the average number of customers visiting the dealership daily, the appropriate hypotheses are __________.

**Multiple Choice Question**

Select the correct hypothesis test:

1. \( H_0: \mu \geq 800, H_A: \mu < 800 \)

2. \( H_0: \bar{X} \geq 800, H_A: \bar{X} < 800 \)

3. \( H_0: \mu \leq 800, H_A: \mu > 800 \)

4. \( H_0: \bar{X} \leq 800, H_A: \bar{X} > 800 \)

**Explanation:**

- \( H_0 \) represents the null hypothesis.
- \( H_A \) represents the alternative hypothesis.
- \( \mu \) stands for the population mean.
- \( \bar{X} \) stands for the sample mean.
Transcribed Image Text:**Multiple Choice Question** Select the correct hypothesis test: 1. \( H_0: \mu \geq 800, H_A: \mu < 800 \) 2. \( H_0: \bar{X} \geq 800, H_A: \bar{X} < 800 \) 3. \( H_0: \mu \leq 800, H_A: \mu > 800 \) 4. \( H_0: \bar{X} \leq 800, H_A: \bar{X} > 800 \) **Explanation:** - \( H_0 \) represents the null hypothesis. - \( H_A \) represents the alternative hypothesis. - \( \mu \) stands for the population mean. - \( \bar{X} \) stands for the sample mean.
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