Introductory Statistics Mid-Term Exam

In: Business and Management

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[2013-2] 통계학 입문 중간고사
분반 1분반(화14목23) / 2분반(화23목14) 학번___________________ 이름_______________

I. 중앙값(Median) 의 장단점을 각각 2개씩 설명하시오. (10 pts)

II. 자료의 상관계수에 관한 아래의 물음에 답하시오. (a) 상관계수가 주는 두가지 정보는 무엇인가? (10 pts)

(b) 상관계수를 잘못 사용하는 3가지 유형을 설명하시오. (20 pts)

III. 이항실험에 관한 아래의 물음에 답하시오. (20 pts) (a) 일반적인 여론조사가 이항실험이 아닌 이유는 무엇인가?

(b) 우리가 여론조사를 이항실험으로 가정 할 수 있는 이유는 무엇인가?

IV. 신용카드 사용자 중 신용불량자의 48%가 신용불량이 되기 세 달 전부터 갑자기 부채가 늘어난다고 하자. 신용불량자가 아니더라도 부채가 늘어날 수 있는데, 그 비율은 17%이다. 세 달 동안 갑자기 부채가 늘어난 신용카드 사용자 중 신용불량자의 비율은 얼마인가? 신용불량자는 전체 카드 사용자 중 1.5% 발생한다고 한다. (10 pts)

V. 사지선다형 문제에서 임의로 정답을 고를 때, 취득 점수의 기대값이 0 이 되도록 하기 위하여 오답에 주어지는 감점은 얼마여야 하는가? (정답은 3점을 부여한다.) (10 pts)

VI. X1= 1, with probability of p-1, with probability of q , X2= 1, with probability of p-1, with probability of q 이고, X1, X2가 서로 독립일 때, 아래의 물음에 답하시오. (a) X1+X2가 취할 수 있는 범위 D는? P=0.5 일 때, E(X1+X2)와 Var(X1+X2)는? (10 pts)

(b) X1+X2의 확률질량함수를 구하시오. (20 pts)

VII. 표준 정규분포 확률표는 모든 b>0에 대해 hb=P(0<Z<b)로 주어진다. 아래 물음에 답하시오. (a) h1.96= ? (10 pts)

(b) X ~ N(10, 4)일 때, 아래 확률값을 hb의 형태로 답하시오. (10 pts) A. P3<X<12= ? B. P-4<X<-1= ?

(c) X ~ B(100, 0.25)일 때, P35<X<55은 무엇인가? hb의 형태로 답하시오. (20…...

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