Question

Which of these statements is false?

The estimator should not depend on the parameter of interest

The correlation between any two random variables from a random
sample is always equal to zero

A random sample is a collection of random variables that are
mutually independent and identically distributed

The sampling distribution of an estimator must not depend on the
parameter of interest

Answer #1

**ANSWER:**

**Which of these statements is false :**

We have to obtained the given statements of false statement is ,

Two variable it tends to be related two one another..

as the estimation of one variable increaythen estimation of other variable additionally increases.they variable move together.. or on the other hand negative correlation.

Therefore,

**OPTION (2)** is false statement.

- The correlation between any two random variables from a random sample is always equal to zero.

True or False:
10. The probability of an event is a value which must be greater
than 0 and less than 1.
11. If events A and B are mutually exclusive, then P(A|B) is always
equal to zero.
12. Mutually exclusive events cannot be independent.
13. A classical probability measure is a probability assessment
that is based on relative frequency.
14. The probability of an event is the product of the probabilities
of the sample space outcomes that correspond to...

The random variable X is uniformly distributed in the interval
[0, α] for some α > 0. Parameter α is fixed but unknown. In
order to estimate α, a random sample X1, X2, . . . , Xn of
independent and identically distributed random variables with the
same distribution as X is collected, and the maximum value Y =
max{X1, X2, ..., Xn} is considered as an estimator of α.
(a) Derive the cumulative distribution function of Y .
(b)...

Included all steps. Thanks
The random variable X is uniformly distributed in the interval
[0, α] for some α > 0.
Parameter α is fixed but unknown. In order to estimate α, a
random sample X1, X2, . . . , Xn of independent and identically
distributed random variables with the same distribution as X is
collected, and the maximum value Y = max{X1, X2, ..., Xn} is
considered as an estimator of α.
(a) Derive the cumulative distribution function...

Which of the following statements is not true for sampling
distributions?
a. A sampling distribution is necessary for making confidence
statements about an unknown population parameter.
b. A sampling distribution depends on the nature of the
population being sampled.
c. When sampling at random from a normal population, the
sampling distribution for the sample average is a normal
distribution.
d. None of the above.
AND
TRUE or FALSE
Assume a random sample of size n is from a normal population....

Which of the following statements is false? Briefly explain your
answer.
(A) If the probability of A is 0.6 and the probability of B is
0.5, then A and B cannot be mutually exclusive.
(B) If the probability of A is 0.4 and the probability of B is
0.6, and if A and B are independent, then P(A and B) must be equal
to 0.24.
(C) If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.72, then...

For each of the following statements, identify whether the
statement is true or false, and explain why. Please limit each
response to no more than 2 sentences.
f) A weighted mean is preferred over an unweighted mean (i.e. a
regular sample mean) when each observation has its own unique
weight.
g) A z-score is a percentile.
h) Assuming the population is normally distributed, the standard
deviation of the sampling distribution of the sample mean will
always be less than or...

Which of the following statements is FALSE?
Group of answer choices
Older men tend to have lower muscle density. Hence, the
correlation between “age” and “muscle density” in older men must be
negative.
Older children tend to be taller than younger children. Hence,
the correlation between “age” and “height” in children must be
positive.
A researcher finds the correlation between two variables is
close to 0, so the two variables must be strongly related.
Taller people tend to be heavier...

Which of the following statements are TRUE?
Note that there may be more than one correct answer; select all
that are true.
1. a) All else being equal, the standard deviation of the
sampling distribution of the sample mean will be smaller for n = 10
than for n = 40.
b) The value of a statistic does not vary from sample to
sample.
c) Statistics have sampling distributions.
d) The value of a parameter does not vary from sample...

1. Are the following statements TRUE
or FALSE?:
(a) According to the Central Limit Theorem, given a large sample
size (N > 30), then a normal probability plot of the
same data would necessarily follow a straight line.
(b) A 95% confidence interval for a population mean that does
not include zero would also mean that a hypothesis test on the same
data would yield a significant result at the .05 level.
(c) The mean of a t-distribution with 5...

1. Suppose that X 1 , X 2 and X 3 are i.i.d (i.e. independent
and identically distributed) random
variables each with mean and variance . Which of the following
three point estimators of is the “best”
point estimator? Justify your answer.
2.The mean annual salary for flight attendants is about $65,700
and the standard deviation is
$14,500. A random sample of 100 flight attendants is selected from
this population.
What is the probability that the mean annual salary of...

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