Statistics Multiple Choice Questions (MCQ)

41- The probability that the fifth head is observed on the 10th independent flip of a coin is:
(A) 63/512
(B) 53/512
(C) 43/512
(D) 33/512
42- The maximum likelihood estimate is
(A) minimum of α not necessarily in the parameter space
(B) maximum of α in the parameter space
(C) maximum of α not necessarily in the parameter space
(D) minimum of α in the parameter space
43- Geometric mean gives ___ weight to equal ratio of changes
(A) Unequal
(C) Proportional
(D) Random
44- Suppose that there are 500 Accounts in a population, a sample 50 of them gives a sample total as 5000. What would be your estimate for the population total?
(A) 5, 000
(B) 50, 000
(C) 1, 00, 000
(D) 5, 00, 000
45- ___ provides a most powerful test of simple null hypothesis against a simple alternative hypothesis (A) Factorization theorem
(B) Neymann Pearson lemma
(C) Chapman Robbins Inequality
(D) Likelihood Ratio test
46- For Cauchy population
(A) The median is unbiased and not consistent estimator of the population mean
(B) The sample median is an unbiased and consistent estimator of the population mean
(C) The sample mean is biased and consistent estimator of the population mean
(D) The sample mean is an unbiased and consistent estimator of the population mean
47- The method of minimum variance approach is based on
(A) Consistency and Sufficiency
(B) Consistency and Minimum variance
(C) Unbiasedness and Consistency
(D) Unbiasedness and Minimum variance
48- The hypothesis is true but the test rejects if means
(A) Wrong decision
(C) Type I error
(D) Correct decision
49- Flip a coin and then independently cast a die. What is the probability of observing heads on the coin and a 2 or 3 on a die?
(A) 1/6
(B) 1/4
(C) 2/3
(D) 1/3
50- Mean square error of estimator obtained by the method of minimum Chi-square is
(A) More than or equal to ML Estimators
(B) More than ML Estimators
(C) Equal to ML Estimators
(D) Less than ML Estimator
 
ANSWERS:
41-(A), 42-(B), 43-(B), 44-(B), 45-(B), 46-(B), 47-(D), 48-(C), 49-(A), 50-(D)