Indicate whether each statement below is true or false, and
justify your answer.
(a) [8 marks] The Cournot oligopoly model is not useful for
analysing competition among firms because (i) firms normally choose
prices, not quantities, and (ii) firms normally do not make their
decisions simultaneously.
(b) [9 marks] Entry deterrence and entry accommodation call for
the same strategy when the firms’ actions (e.g. setting price or
setting quantity) are strategic substitutes and for opposing
strategies when the firms’ actions...
Indicate whether each of the following statement is
true, false, or uncertain, and justify your answer.
(a) If a company can choose to treat the cost of developing new
software as capital expense or current expense for tax purpose, the
company would treat it as capital expenses so that it is counted as
investment.
(b) Capital goods purchases are deducted both in the current VAT
scheme in Korea and in the corporation income tax.
(c) Theoretically, conditional grant and unconditional...
Indicate whether each of the following statement is
true, false, or uncertain, and justify your answer.
(a) Tax is just the transfer of welfare as the sum people pays is
the revenue of the government.
(b) If the elasticity of demand is 0, or there is no change in
quantity traded due to taxation,
there is no excess burden of the tax.
(c) Marginal excess burden is greater than average excess
burden.
(d) Imposition of Pigouvian tax to correct externality...
Indicate whether each statement is True or False.
Briefly justify your answers ( Please answer C and E both
)
(c) The set of all 3 × 3 matrices A with zero trace (T r(A) = 0)
is a vector space under the usual matrix operations of addition and
scalar multiplication. (
e) If x⃗1 and x⃗2 are in the null space of a square matrix A,
then any linear combination of x⃗1 and x⃗2 is also in the null...
Determine if the statement below is True or False. Justify your
answer by giving a proof or counterexample. Let A,B,C∈Mn×n(R) .
Suppose C is invertible and C=AB. Then the columns of A, B and C
are each bases for Rn and B is the change of basis matrix from the
columns of C to the columns of A.
Determine whether each of the following statements is true or
false. Justify your answer for any that you think are false.
a) The margin of error for a 95% confidence interval for the
population proportion p increases as the sample size increases.
b) The margin of error for a confidence interval for the
population proportion p, based on a specified sample size n,
increases as the confidence level decreases
. c) The margin of error for a 95% confidence interval...
Indicate whether each of the following statements is
True or False, and Briefly Justify your answer.
The Coefficient of Determination in a multiple linear regression
model, R2, is the ratio of residual sum of
squares (RSS) to total sum of squares (TSS). It tells us the
percentage of unexplained variation in the dependent variable.
Indicate whether each of the following statements is
True or False, and Briefly Justify your answer.
The Gauss-Markov Theorem says that within the class of linear,
unbiased estimators, OLS estimators have zero variance.
State whether the following statement is/are true or false and
justify your answer.
(1) Statistics consist of information that is collected from
specific source on a topic of interest.
(2) A population is a collection of items, individuals or
elements.
(3) Inferential statistics is the art and science of collecting,
presenting and interpreting data.
(4) A sample is a fraction or a subset of the population.
(5) A qualitative variable is a variable that measures
qualitative characteristics.
Answer each question by True or False. Justify your answer.
(1) True or False? The set V = {p ∈ P2: p (7) = 0, p’ (7) = 0}
is a subspace of P2.
(2) True or False? The set of 2 by 2 matrices whose entries are
either all 0 or all nonzero is a subspace of the set of all 2 by 2
matrices M2×2(R).
(3) True or False? The set of all functions in C([0, 1]) such...