3.

1.( )若虚無假設H0。為[新發行的藥不會增加心臟病突發的狀況]則下列何者的選擇較合適？ (A) a =0.001 且β=0.1 (B) a =0. 01 且β=0. 05 (C) a=0. 05 且β=0.01 (D) a=0.1 且β=0. 001 (E) a=0.05 且β=0. 05

2.( )若虚無假設0。為汽車的煞車系統需要修理了 j則了列何者鈞選f較合適？ (A) a =0.001 且β=0.1 (B) a=0.01 且β=0.05 (C) a =0. 05 且 β=0. 01 (D) a =00.5 且β=0. 001 (E) a =0. 05 且β=0. 05

4. ( ) If the mean of a normal distribution is negative, then (A) the standard deviat ion must also be negative (B)'the variance must also be negative (C) a mistake has been made in the computations, because the mean of a normal distribution can not be negative (D) the standard deviation must be zero (E) None of these answers is correct.

5. ( ) In a regression analysis if r2 = 1, then (A) SSE must also be equal to one (B) SSE must be equal to zero (C) SSE can be any positive value (D) SSE must be negative (E) None of these answers is correct.

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.

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