Question

1.The Nearly Normal condition is met in one of either of two ways: the sample size is large or...

a.the population (and sample) distribution are already normal distribtuions.

b.we know the standard deviation of the population.

c.if the units we are measuring can only be positive (e.g. weights of chickens).

d.the two samples are independent.

2.Assume there exists a sample distribution that is normally distributed. For the sampling distribution to be approximately normal the central limit theorem requires the sample size to be...

a.The CLT is not needed here as the sampling distribution is already normal.

b.relatively small (around 50)

c.relatively large (more than 100)

d.It is impossible to tell

3.For an increase in sample size, we expect the sampling distribution of the sample mean to...

a.have a smaller standard error, that is the distribution gets more narrow.

b.have a larger standard error, that is the distribution gets more narrow.

c.have a larger standard error, that is the distribution gets more wide.

d.have a smaller standard error, that is the distribution gets more wide.

4.A sample has a sample size of 87.What is the degrees of freedom for associated with t* for this sampling distribution?

a.86

b.2.869

c.87

d.88

Answer #1

1. The two conditions are sample size is large or population is normal for which population standard deviation is known.

So answer for this is

b.we know the standard deviation of the population.

2. As the population is normal, sample mean is also normally distributed

So answer here is

a.The CLT is not needed here as the sampling distribution is already normal.

3. As n increases, standard deviation will decrease and distribution will become narrow as it will come closer to mean.

So answer here is

a.have a smaller standard error, that is the distribution gets more narrow.

4. df for t distribution is n-1

So for n=87, df is 87-1=86

So answer here is a.86

Question 3
The larger the sample size, the __________ the standard error of
the mean.
Larger
Smaller
More diverse
Less diverse
1 points
Question 4
The central limits theorem tells us that the mean of the
sampling distribution of means will always be equal to:
0
standard error of the mean.
mean of the population.
mean of the sample.

1.What is the best way to describe the expected value of M?
a.The sample standard deviation
b.The standard deviation for the distribution of sample
means
c.A sample mean
d.The mean of the distribution of sample means
2.Which combination of factors is more likely to produce small
standard error?
a.σ = 5; n = 25
b.σ = 5; n = 100
c.σ = 10; n = 25
d.σ = 10; n = 100
3.The standard error is written out with which...

A sample of parts was taken from a population of finished parts
that had U = 470, O=18. The sampling distribution for Xbar was
found (using the CLT) to be normal with mean 470 and standard error
2. What was the sample size?

True or False?
1. σM equals the standard deviation
divided by the square root of the sample size
2. Larger samples more accurately reflect the population than
smaller samples
3. If n = 1, the standard error will equal the standard
deviation of the population
4. If a population is skewed, the distribution of sample means
will never be normal
5. The mean for the distribution of samples means is equal to
the mean of the population
6. As the sample...

Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $33 and the estimated standard deviation is about $6.
(a) Consider a random sample of n = 50 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...

Random samples of size n were selected from a
normal population with the means and variances
given here.
n = 25, μ = 12, σ2 = 9
Describe the shape of the sampling distribution of the sample
mean.
a. The distribution is normal
b. The distribution is skewed left
c. The distribution is bimodal
d. The distribution is uniform
e. The distribution is skewed right
Find the mean and the standard error of the sampling
distribution of the sample mean....

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.

TRUE OR FALSE:
1. The sampling distribution of (X-bar) is
always a normal distribution according to the Central limit
theorem.
4. If the sampled population is a normal distribution, then the
sampling distribution of (X-bar is normal only for a
large enough sample size.
5. If p=.8 and n=50, then we can conclude that the sampling
distribution of the proportions is approximately a normal
distribution.
8. Assuming the same level of significancea, as the
sample size increases, the critical t-value...

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...

Suppose we repeatedly take samples of size 100 from the
population distribution, calculate a sample mean each time, and
plot those sample means in a histogram. The histogram we created
would be an example of a (variable, population, distribution,
sampling distribution???) . According to the central limit theorem,
the histogram would have a shape that is approximately (left
skewed, right skewed or normal???) , with mean (give a
number???) and standard deviation (give a number??). The
standard deviation of the statistic under...

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