25. The Tourism Bureau of Taiwan, would like to estimate the mean amount of money spent by a tourist to within $1000 with 95% confidence. If the amount of money spent by tourists is considered to be normally distributed with a standard deviation of $2000, what sample size would be necessary for the Chamber of Commerce to meet its objective in estimating this mean amount? (A) 4 (B) 6 (C) 8 (D) 11 (E) 16

32. Suppose a potential customer would like to evaluate where there exist difference in house value (unit: thousand dollars) between urban and Rural areas. Let $\mu_1$ and $\mu_2$ denote the average house value for urban and Rural areas. Also, let $\bar{x}_1$ and $\bar{x}_2$ denote the sample mean of house value for urban and Rural areas. Which of the following statement is correct? (A) $H_0: \mu_1 \ge \mu_2$ versus $H_a: \mu_1 < \mu_2$. (B) $H_0: \mu_1 = \mu_2$ versus $H_a: \mu_1 \neq \mu_2$. (C) $H_0: \bar{x}_1 \ge \bar{x}_2$ versus $H_a: \bar{x}_1 < \bar{x}_2$. (D) $H_0: \bar{x}_1 = \bar{x}_2$ versus $H_a: \bar{x}_1 \neq \bar{x}_2$. (E) $H_0: \bar{x}_1 = \bar{x}_2$ versus $H_a: \bar{x}_1 < \bar{x}_2$.

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