30. (5%) Which of the following is NOT a reason for conducting the paired-sample T- test?
(A) The sample size is too small
(B) The treatments can be compared with homogeneous subjects
(C) The variation of measurements is too large compared to the variation related to the treatment
(D) The data collected are paired with positive correlations
(E) The subjects differ a lot in terms of their age, gender and ethnic groups

26. (5%) Hospital A is experimenting with an AI-assisted system for judging the status (+ or -) of a certain disease. A pilot study is conducted to compare the results assessed by the AI system and a trained doctor. 50 patients are recruited, and the results are reported in the following table: The goal of the study is to verify if the assessment from the AI system is consistent with that from a trained doctor. Which of the following statistical test can be used to answer the question? (A) 5 independent 2 sample t-test (B) paired 2 sample t-test (C) chi-squared test (D) signed-rank test (E) F test

27. (5%) Based on the playing history of Team A and Team B, Team A has a 60% chance of winning basketball in one game. Assume that the outcomes of their games are independent. Which of the following statements is correct? (A) Team A has a better chance of winning in 2-out-of-3 gameplay(三戰兩勝) rather than in 3-out-of-5 gameplay(五戰三勝) (B) Team A has a more than 70% chance of winning in 2-out-of-3 gameplay (C) For 2-out-of-3 gameplay, the chance of playing the third game is more than 40% (D) Given that the third game takes place in 2-out-of-3 gameplay, Team B has a less than 40% chance of winning the game (E) None of the above

28. (5%) From the general knowledge, the population occurrence rate of asthma is 0.1 for children who visit hospitals. A pediatrician moved his clinic to a new place and he found 9 children with asthma among 50 appointments in his first day at the new place. If the 50 appointments are considered as Bernoulli random variables with O and 1 outcomes, the total number of asthma children, indicated as X, should follow a Binomial distribution with probability 0.1 under the general condition. He then makes the following guesses. Which one is a correct inference for the occurrence rate at the new place? (A) If the occurrence rate holds the same as other places, the standard deviation of each Bernoulli random variable in this problem is . The standard deviation of X should be 50 x 0.3=15 (B) Since 9/50=0.18 is greater than 0.1, there must be an increase of the occurrence rate (C) If the occurrence rate is greater than 0.1, we should also see the proportion of asthma children to be greater than 0.1 in the next day (D) Since P(X=9)=0.033 is smaller than 0.05, we will decide this as an unusual situation, and the evidence supports an increased occurrence rate. The threshold 0.05 can be applied when the number of appointments is 70 in a day (E) Since P(X≧9)=0.058 is greater than 0.05, we do not have to worry too much about the situation, and it might be a random fluctuation from day to day. The threshold 0.05 can be applied when the number of appointments is 70 in a day

29. (5%) A histogram of a dataset X is plotted in Figure (i). The 1st quartile, median and the 3'd quartile of the data are 10, 25, and 50. Which of the following statements is correct? i) (A) The truncated mean of the central 50% data should be (10+50)/2=30 (B) If another variable Y is positively correlated with X, the distribution of Y must be skew to the right as the distribution of X (C) The mode is greater than 25 (D) Since it is a skewed distribution, we can model the data with a x distribution (E) Suppose we randomly draw 30 samples with replacement from this dataset and take average to get X. The distribution of X is more likely to be the function f3(x) in Figure (ii) rather than the function f1(x) or f2(x) 110 130

16.若一整數陣列有 511 個元素，分別以二分搜尋法及循序搜尋法搜尋某一數值，下列敘述何者不正確？ (A)進行二分搜尋前陣列需先排序過 (B)二分搜尋法最多搜尋次數為 9 (C)循序搜尋法最多搜尋次數為 256 (D)循序搜尋法最快搜尋次數為 1

17.NAT 技術提供下列哪項功能？ (A)遠端連線功能 (B)虛擬 IP 與合法 IP 的轉換 (C)網域名稱與 IP 位址互轉 (D)動態的分配 IP 位址

18.在 Windows 中使用 CMD 操作檔案與 Unix 作業系統指令進行相近功能指令比較，下列敘述何者不正確？ (A) CMD 之 dir，類似 Unix 之 ls。 (B) CMD 之 del，類似 Unix 之 rm。 (C) CMD 之 type，類似 Unix 之 ps。 (D) CMD 之 copy，類似 Unix 之 cp。

19.左邊為瀏覽器顯示網頁，右邊為其 html 檔案，右邊底線應填入下列哪一項？ (A) selector="sqr" (B) class=’sqr’ (C) id="sqr" (D) src= ‘sqr’

20.各機關自行辦理資通業務，未自行維運或委外設置、開發之資通系統者，其資通安全責任屬於哪一等級？ (A) A 級 (B) B 級 (C) C 級 (D) D 級

21.關於雜湊(Hashing)何者不正確？ (A)用來加密存在資料庫中的密碼 (B)雜湊值計算後可反推原來訊息 (C)好的雜湊函式較少雜湊衝突 (D)好的雜湊函式應該是容易計算