Question

3. True or False. Justify for full credit.

(a) If the variance from a data set is zero, then all the observations in this data set must be identical.

(b) The median of a normal distribution curve is always zero.

Answer #1

a) The variance of a data set is computed as:

Therefore the variance is equal to 0 for all X_{i} =

**Therefore all observations needs to be equal for the
variance to be 0. Therefore the given statement is
True.**

b) The median of a normal distribution is equal to its middle
most point and it could be any number on the continuous number
line. The median for only standard normal distribution is 0 and not
for all normal distributions. **Therefore the given statement
is False.**

True or False. Justify for full credit. (a) If the variance from
a data set is zero, then all the observations in this data set must
be identical. (b) The median of a normal distribution curve is
always zero.

Select True or False from each pull-down menu, depending on
whether the corresponding statement is true or false.
True False
1. In the normal distribution, the
total area beneath the curve represents the probability for all
possible outcomes for a given event.
True False
2. In the normal distribution, the
mean, median, mode, and variance are all at the same position on
the horizontal axis since the distribution is symmetric.
True False
3. In the exponential distribution,
the value of ?x...

True or false
a. The standard deviation is negative for a data set where all
values are negative.
b. A population with an average of 20 and variance of 16, has a
coefficient of variation equal to the mean.
c.The standard deviation is a measure of dispersion that does
not take into account all the observations of a data set.
d.The route of a data set is affected by the existence of
extreme values.

Answer True or False for each of the following. If your answer
is FALSE, provide an example that proves your point. If your answer
is true, explain. Given a typical set of numerical data with an ODD
number of values.
1. The mean is always one of the data values.
2. The median is always one of the data values
3. The mode is always one of the data values.
4. The range measures the variability of the given data...

1.The median is a measure of central tendency (or
location)?
True
False
2,The mean computed from ungrouped data is a more accurate measure
than the mean computed from grouped data?
True
False
3.The mode for the following values is "0"?...3.4, 4.7, 1.9,
7.6, 6.5.
True
False
4.A distribution of data that is positively skewed is left
skewed?
True
False
5.In a numerical batch of data the value of "Q3" can never be
smaller than the value of "Q1"?
True
False ...

1. True or False: If our data do not achieve the level of
statistical significance that we had established, then the null
hypothesis must be accepted as true.
2. True or false: In a normal distribution curve, the tails of
the curve are asymptotic to the y-axis.
Please answer both 1 & 2. Thank you in advance.

True or False: a.) Variance is the mean of the squared deviation
score. b.) For any population, a z-score of +1.00 corresponds to a
location above the mean by one standard deviation. c.) In a
distribution with s=8, a score of X=64 corresponds to z=-.50. The
mean for this sample will be M=60. d.) Transforming X values into
z-scores will not change the shape of the distribution. e.) One
advantage of transforming X values into z-scores is that the
transformation...

True or False? All of the questions are true or false.
1. if Z is a random variable from a standard normal distribution
and if P(Z > c) = 0.25, then P(Z < -c) = 0.25
2. Assume Z is a random variable with a standard normal
distribution and b is a positive number. If P ( Z > b )=0.15
then P( − b < Z < b)=0.7
3. If X represents a random variable coming from a normal...

Suppose you have access to data from a skewed distribution.
Answer the following true/false questions.
A.) A five-number summary is typically better at representing
the center and spread of the distribution than the mean and
standard deviation.
B.) It is not possible for the standard deviation to be larger
than the median
C.) If we add 100 to every point in our data set the IQR will
change, but the standard deviation will remain the same.
D.) If we...

Indicate whether each statement is True or False.
Briefly justify your answers. Please answer all of questions
briefly
(a) In a vector space, if c⊙⃗u =⃗0, then c= 0.
(b) Suppose that A and B are square matrices and that AB is a
non-zero diagonal matrix. Then A is non-singular.
(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...

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