Question

(a) True/False. A binary random variable is a categorical variable. Explain the answer thoroughly.

(b) True/False. A parameter is a numerical value that summarizes the observed results. Explain the answer thoroughly.

Answer #1

a) true

A categorical variable that can take on exactly two values is
termed a *binary variable.*

In statistics, a **categorical variable** is a
variable that can take on one of a limited, and usually fixed
number of possible values,each of the possible values of a
categorical variable is referred to as a
**level**.

B) false

A parameter is a numerical value that states something about the entire population being studied.

**Parameters** are numbers that
**summarize** data for an entire population.
**Statistics** are numbers that
**summarize** data from a sample(set of observations)
, i.e. some subset of the entire population.

QUESTION 30
True or False: We can include a categorical variable (such as
region) in a multivariate model in the same way we include a
continuous variable.
True
False
2.5 points
QUESTION 31
True or False: We fail to reject the null hypothesis if the test
statistic is greater than the critical value.
True
False
2.5 points
QUESTION 32
True or False: We necessarily do not have an omitted variable bias
problem the omitted variable is uncorrelated with...

(a) TRUE / FALSE If X is a random variable, then (E[X])^2 ≤
E[X^2]. (b) TRUE / FALSE If Cov(X,Y) = 0, then X and Y are
independent. (c) TRUE / FALSE If P(A) = 0.5 and P(B) = 0.5, then
P(AB) = 0.25. (d) TRUE / FALSE There exist events A,B with P(A)not
equal to 0 and P(B)not equal to 0 for which A and B are both
independent and mutually exclusive. (e) TRUE / FALSE Var(X+Y) =
Var(X)...

1) The salaries of human resource managers are a numerical
variable.
True or False
2) Suppose 300 randomly selected human resource managers were
surveyed and asked to identify in which group their current salary
lies—25,000 to 40,000, 40,001 to 55,000, 55,001 to 70,000, 70,001
to 85,000, or 85,001 or higher. Current salary in this scenario is
which of the following?
a) biased statistic
b) categorical variable
c) numerical variable
d) parameter
3) The sample obtained in this study is the...

QUESTION 33
True or False: When conducting analysis using categorical
variables, we include a dummy variable for every category covered
by the categorical variable.
True
False
QUESTION 34
We are analyzing the effects of regime type on corruption rates
with the following model: Corruption = 10 - 0.1 GDP (per capita) -
2.0Democracy where Corruption is an index of corruption, GDP (per
capita) is measured in thousands of dollars, and Democracy is a
dummy variable that is equal to one...

Three students answer a true-false question on a test randomly.
A random variable x represents the number of answers of true among
the three students, taking on the value 0, 1, 2, or 3.
(a) Find the frequency distribution for x.
(b) Find the probability distribution for x.
For the same random variable x as the previous problem, find the
following:
(a) The expected value (b) The variance (c) The standard
deviation

State True or False. i) Binary search is used for searching in a
sorted array. AND ii) The time complexity of binary search is O(log
n). A) True, False B) False, True C) False, False D) True, True
Explain

Please answer true / false / uncertain to the statement and
EXPLAIN THE ANSWER.
Assume a regression coefficient has a p-value of 0.02. Then, at
95% confidence we reject the hypothesis that the true parameter is
zero. However, at 99% confidence we accept the same hypothesis.

for
each of the following variables, determine whether the variable is
categorical or numerical. if the variable is numerical, determine
whether the variable is discrete or continuous. in addition,
determine the measurement scale.
1. time, in hours, spent working per day.
2. name of a households cable television provider.
3. number of hamburgers ordered in a day.
4. satisfaction rating of a cable television provider (from
low to high).
5. number of online purchases made in a day.
A. this...

4. (2 pt each) TRUE or FALSE:
(a) The population parameter I should use one categorical
variable is ˆp. (T / F)
(b) Randomization distributions are centered at the original
sample statistic. (T / F)
(c) There is a 95% probability the population parameter is
within a specific 95% confidence interval. (T/F)
(d) If the correlation is strong and positive, we can claim
causation. (T/ F)
(e) To decrease the Type II error rate, I should increase α. (T
/...

TRUE or FALSE? Do not explain your answer.
(a) If A and B are any independent events, then P(A ∪ B) = P(A)
+ P(B).
(b) Every probability density function is a continuous
function.
(c) Let X ∼ N(0, 1) and Y follow exponential distribution with
parameter λ = 1. If X and Y are independent, then the m.g.f. MXY
(t) = e t 2 /2 1 1−t .
(d) If X and Y have moment generating functions MX and...

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