3. 承 1 題，莉香的情敵里美得知此消息，於是想出計策試圖讓完治無法去赴約，假設她計 策成功的機率是 0.2，請問按照原先的約定，莉香與完治會在壽克斯小路見面的機率是多少？
(A) 2/45
(B) 1/9
(C) 2/9
(D) 4/15
(E) 以上皆非

1. 已知兩人各自抵達 的時間是隨機的並均勻的分佈在約定的一小時內，請問兩人當晚在壽克斯小路見面的機率是多少？ (A) 1/18 (B) 1/9 (C) 1/3 (D) 2/9 (E) 5/18

2. 承上題，假設完治願意放下身段，且兩人說好各自最多等十分鐘，請問兩人當晚會在壽克 斯小路見面的機率，與原先的方案相比，孰高孰低？ (A) 見面的機率比原先方案來得高 (B) 見面的機率比原先方案來得低 (C) 見面的機率與原先方案相同

4. Consider the linear regression model:. hhe data set is. After fitting these data into this model, you obtained the linear system which is denoted by Y = Xβ +ε. Which of the following is   NOT hRUE  ?(A) (B) If x2 = 2x1, then we have infinite solutions for the normal equations.(C) Follow the least square criterion, we have the residuals. hhe sum of residuals must be zero.(D) If you add new independent variable xm+1 into the original linear regression model,i.e. , then the coefficient of determination won’t decrease.

25.The distribution for X is uniform. What can we say for certain about the distribution for ΣX when sample size n=50? (A)distribution for ΣX is still uniform with the same mean and standard deviation as the distribution for X. (B)distribution for ΣX is still uniform with the larger mean but a smaller standard deviation as the distribution for X. (C)The distribution for ΣX is normal with the same mean but a larger standard deviation as the distribution for X. (D)The distribution for ΣX is normal with a larger mean and a larger standard deviation than the distribution for X. (E)The distribution for ΣX is normal with the same mean but a smaller standard deviation than the distribution for X.

24.Part of an ANOVA table is shown below. The sample size is (A)4 (B)5 (C)18 (D)22 (E)None of the above.

23.Let (Yᵢ, xᵢ), i=1,2,...,n, be a random sample. (A)Since the sample correlation coefficient is found to be r=0.9, simple linear regression model would be suitable for modelling the relationship for Y and x. (B)It is further known that both the sample standard deviations of Y and x are 1's, then the estimated regression coefficient would be 0.9. (C)Normal distribution assumption is a must for the error term if we want to find the least squares estimate. (D)A significant result can be obtained if r=0.9, because the value is large enough. (E)None of the above.

22.The following sum of squares are produced.  Σ(yᵢ-ȳ)²=200, Σ(yᵢ-ŷᵢ)²=80, and Σ(ŷᵢ-ȳ)²=120. The percentage of the variation in y that is explained by the variation in x is (A)25% (B)80% (C)33% (D)60% (E)66%

21.Suppose that X is a discrete random variable taking on the values of 0, 1 and 2, and the corresponding probability function f(·) is such that 2f(0)=f(1)=f(2). Then, the expected value of X is (A)1/5 (B)2/5 (C)4/5 (D)1 (E)6/5

20.An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, and an alternative hypothesis that the average time for processing a claim is greater than 7 days. After completing the statistical test, it is concluded that the average time exceeds 7 days. However, it is eventually learned that the mean process time is really 7 days. What type of error occurred in the statistical test? (A)random error (B)margin of error (C)Type II error (D)Type I error (E)No error occurred in the statistical sense.

19.In an ANOVA, which of the following is most likely to produce a large value for the F-ratio? (A)small mean differences and large sample variances (B)small mean differences and small sample variances (C)large mean differences and large sample variances (D)large mean differences and small sample variances (E)identical group means and increasing sample sizes

114年 - [無官方正解]114 臺灣綜合大學系統_學士班轉學生考試試題:統計學#138278

113年 - 113 國立臺灣大學_碩士班招生考試：工程統計#119664

112年 - 112 國立臺灣大學_碩士班招生考試試題：工程統計#119662

111年 - 111 國立臺灣科技大學_碩士班招生試題：統計學(C)#120895

110年 - 110 國立陽明交通大學_碩士班考試入學試題：統計學#121574

110年 - 110 國立臺灣科技大學_碩士班招生試題_企業管理系：統計學#111322

110年 - 110 國立臺灣大學_碩士班招生考試_部分系所:統計學(H)#111297

110年 - 110 國立政治大學_碩士班暨碩士在職專班招生考試_財政所:統計學#110890

110年 - 110 國立高雄科技大學_碩士班招生考試_工業工程與管理系：統計學#110420

110年 - 110 國立政治大學_碩士班招生考試_財政研究所:統計學#107983