Question

Which of the following about a normal distribution is true?

The sample mean equals the population mean if the sample and the population are both normally distributed

The area under the curve to the right of mean is .50

It is a classical probability distribution where each outcome is equally likely.

The smaller the standard deviation, the flatter the curve will be

Answer #1

**b.)**

The mean (the perpindicular line down the center of the curve) of the normaldistribution divides the curve in half, so that 50% of the area under the curve is to the right of the mean and 50% is to the left.

The area under the curve to the right of mean is .50 IItis a classical probability distribution where each outcome is equally likely Is true

**a.)**

The sample mean equals the population mean if the sample and the population are both normally distributed.

It is also true.

**c.)**

It is a classical probability distribution where each outcome is equally likely.

It is true.

**d.)**

The smaller the standard deviation, the flatter the curve will be

It is false. A larger standard deviation indicates that the data is spread out around the mean; the normal distribution will be flatter and wider.

Which of the following is a characteristic of the
normal distribution?
A. The standard deviation equals to 0.
B. The mean equals to 1
C. The curve Is symmetrical
D. The bell curve is skewed
The normal distribution curve has the property of
being asymptotic; this means that .
A. The area under the curve is not skewed to the left
B. The curve is symmetrical
C. The area under the curve is not skewed to the right
D. The...

Question 2: Which of the following statements about the
sampling distribution of means is not true?
A. A sample distribution's mean will always equal the parent
population distribution's mean
B. The sampling distribution of means approximates the normal
curve.
C. The mean of a sampling distribution of means is equal to the
population mean.
D. The standard deviation of a sampling distribution of means is
smaller than the standard deviation of the population.

Which of the following statement about the sampling distribution
of proportion is true?
Select one:
a. Its mean equals to the population proportion.
b. Its standard error equals to the population standard
deviation.
c. It is approximately normally distributed if n ≥ 30.
d. It is approximately normally distributed if the population is
normally distributed.

Which of the following is NOT true regarding the sampling
distribution of the mean (Sample mean X-bar) for a large sample
size (sample size is greater than 36)? A. It has the same mean as
the population. B. It has a smaller standard deviation than the
population standard deviation. C. Approximately it follows a normal
distribution. D. It has the same distribution as the
population.

Assume for a moment that we have a population distribution that
is negatively skewed. Which probability distribution becomes normal
as the size of the sample increases?
population distribution
sample distribution
sampling distribution
None of the above
The standard error of the mean refers to the standard deviation
of the...
normal distribution
population
sample
sampling distribution
None of the above
Which type of error can be quantitatively measured:
sampling error
non-sampling error
both
neither
The purpose of statistical inference is to...

1) Which of the following statements is correct about the
standard normal distribution and t distribution?
a) standard normal distribution is used to eliminate population
mean, while t distribution is used to estimate population standard
deviation
b) t distribution is always centered at 0, while the center of a
standard normal destruction depends on the sample mean
c) none of the 3 answer choices
d) standard normal distribution curve is higher than t
distribution curve at the tails
2) If...

Which of the following statements about the sampling
distribution of the sample mean, ¯xx¯ , is the correct?
1The distribution is normal regardless of the shape of the
population distribution, as long as the sample size, n, is large
enough.
2The distribution is normal regardless of the sample size, as
long as the population distribution is normal.
3The distribution's mean is the same as the population mean.
4The distribution's standard deviation is smaller than the
population standard deviation.
5All of...

Which of the following is true regarding the sampling
distribution of the mean for a large sample size?
Select one:
a. It has the same shape, mean, and standard deviation as the
population.
b. It has the same shape and mean as the population, but has a
smaller standard deviation.
c. It has a normal distribution with the same mean as the
population but with a smaller standard deviation.
d. It has a normal distribution with the same mean and...

1) For a normal distribution curve with a mean of 7 and a
standard deviation of 4, which of the following ranges of the
variable will define an area under the curve corresponding to a
probability of approximately 34%?
a) from 7 to 11 b)from –1 to 15 c) from 5 to 9 d) from 3 to
11
2) The average age of vehicles registered in the United States
is 96 months. Assume the population is normally distributed with a...

In a standard normal distribution, the probability that Z is
less than zero is
Multiple Choice
-0.5
0.0
0.5
1.0
For the standard normal probability distribution, the total area
under the curve is
Multiple Choice
0.0
0.5
1.0
3.0
The random variable x is known to be uniformly distributed
between 50 and 100. The probability of x having a value between 70
to 95 is
Multiple Choice
.25
.50
.75
1.00
x is a normally distributed random variable with a...

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