三、請從「普惠金融」的角度，說明合作金融（信用合作社、儲蓄互助社）在現代金融體系中的角色與功能，並分析其相較於一般商業金融之優勢與限制。（20 分）

參、計算題：1. 某輪已知：排水體積(▽)為 50,000 M3 ，船長船寛比(L/B)為 6，船寛與吃水比(B/T) 為 2.8，船舯剖係數(Midship Section Coefficient，CM)為 0.99，稜塊係數(Prismatic or Longitudinal Coefficient，Cp)為 0.78，請計算該輪之 (A)船長 L； (B)船寛 B； (C)吃水 T； (D)方塊係數 Cb(Block Coefficient)，及(E)水線以下之船舯剖面積 AM。

一、(50%)1. (20%) There are data sets of the heights (in inches) and weights (in pounds) of the members of a basketball team. Suppose the percentage of the heights of players between 68.6375 and 76.8625 is at least 36%, and the percentage of the weights of players between 170.14 and 205.52 is approximately 68%. Find the means and standard deviations of the heights and weights for this condition. Find the coefficients of variation of the heights and weights for each data set of the members of a basketball team. What assumptions and Theorems/ Rules do you apply to analyze these data sets? What can you conclude?

(a) \( (5\%) \) hypothesis testing,

(b) \( (5\%) \) confidence interval, and

(c) \( (5\%) \) \( p \) -value.

(d) \( (5\%) \) What procedures or assumptions do we need for this test?

(e) \( (5\%) \) How do we interpret the transition from the confidence level to the confidence coefficient in (b)?

(f) (5%) Accordingly, how do we apply the confidence interval for the estimation of the parameter in reality and explain the confidence?

二、填充題 (5% for each, 50% in total)$$\chi{.10}^2(2) = 4.6052, \chi{.05}^2(2) = 5.991, \chi{.025}^2(2) = 7.3778, \chi{.01}^2(2) = 9.2103$$1. As a company manager for NTPU Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25. What is the probability of getting a raise? (a) Are getting a raise and being promoted independent events? (Justify your answer) (b)

2. A group of 500 individuals were asked to cast their votes regarding a particular issue of the Equal Rights Amendment. We want to test to determine if the votes cast were independent of the sex of the individuals. The following table shows the results of the votes:State the null and alternative hypotheses. __(c)__ Test the hypotheses using the p-value approach and at α=5%. What is your conclusion?__ (d)__

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