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The provided image contains a statistical problem related to hypothesis testing. It seems a company is planning to expand a supermarket into a residential area. To evaluate the purchasing power of the residents, the company has investigated the income of 100 households, summarized in a table:

### Income Distribution (in millions VND per person per month):
| Income (Triệu/người/tháng) | 15 | 20 | 25 | 30 | 35 |
|---|---|---|---|---|---|
| Number of households | 8  | 15 | 38 | 22 | 17 |

The problem asks to evaluate whether the company should open the supermarket, given that it will only operate if the average monthly household income is greater than 25 million VND. The significance level (alpha) for this hypothesis test is \( \alpha = 0.05 \).

The hypotheses are:

- **Null Hypothesis \( H_0 \)**: \( \mu = 25 \) (the average income is 25 million VND).
- **Alternative Hypothesis \( H_1 \)**: \( \mu > 25 \) (the average income is greater than 25 million VND).

To perform a hypothesis test:
1. **Calculate the sample mean** (\( \bar{x} \)) and standard deviation of the data.
2. **Perform a one-tailed t-test** to check if the sample mean is significantly greater than 25.
3. Compare the **p-value** with the significance level \( \alpha = 0.05 \). If \( p \)-value < \( \alpha \), reject the null hypothesis.

Would you like me to proceed with calculating the mean, standard deviation, and conducting the hypothesis test? Or would you like an explanation of any specific part?

A company is planning to open a supermarket in a residential area. To evaluate the purchasing power of the residents, the company has investigated the income of 100 households, summarized in a table. The company needs to determine if the average household income exceeds 25 million VND, as the supermarket will only operate under this condition. The significance level is 5%. Which pair of hypotheses fits the problem?

A company is evaluating whether to open a supermarket in a residential area. The decision depends on whether the average household income exceeds 25 million VND. Using hypothesis testing with a significance level of 5%, this problem involves calculating the sample mean, standard deviation, and performing a one-tailed t-test to determine the viability of the supermarket expansion.

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