Question

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. Assume a single sample t test is used to for hypothesis testing. The null hypothesis is that the population mean is zero versus the alternative hypothesis that it is not zero. If the sample size is decreased, and the Type I error rate is unchanged, then the Type II error rate will increase.

Answer #1

Which of the following statements are TRUE
Note that there may be more than one correct answer; select all
that are true.
a)
The power of a test is only influenced by the hypothesized
parameter value, and not the true parameter value.
b)
For a two-sided alternative hypothesis, as the difference
between the true parameter value and the hypothesized parameter
value increases, the probability of a Type I error increases.
c)
It is desirable to have tests with high power,...

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 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...

In Chapters 7 and 8, you studied estimation and hypothesis
testing.
(a) What two sampling distributions are used in estimation and
hypothesis testing of population means, proportions, paired
differences, differences of means, and differences of proportions?
(Select all that apply.)
the Student's z distribution
the standard t distribution
the standard normal distribution
the standard Student's distribution
the Student's t distribution
What are the criteria for determining the appropriate sampling
distribution? (Select all that apply.)
known or unknown σ
known or...

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.

State whether each of the following is True or
False.
a. A smaller sample could provide less sampling error than a larger
sample from a given population.
b. The correct critical value a lower tail hypothesis test when
sigma is unknown, the sample size = 15, and alpha = 0.05 is
-1.645.
c. A larger sample size can reduce the potential for extreme
sampling error.
d. It is impossible for the population mean to equal the mean of a
sample...

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...

Answer the following about T-Test & T-distributions:
1. Which of the following statements related to the
t-distribution is not true?
Select one:
a. Since the population standard deviation is usually unknown,
the standard error of the sample mean is estimated using the sample
standard deviation as an estimator for the population standard
deviation. The formula is s/sqrt(n).
b. The population must be t-distributed in order to use the
t-distribution.
c. Like the Normal distribution, the t-distribution is symmetric
and unimodal....

Which of the following statements is not consistent with
the Central Limit Theorem?
1. The Central Limit Theorem applies to non-normal population
distributions.
2. The standard deviation of the sampling distribution will be
equal to the population standard deviation.
3. The sampling distribution will be approximately normal when
the sample size is sufficiently large.
4. The mean of the sampling distribution will be equal to the
population mean.

Determine whether the hypothesis test involves a sampling
distribution of means that is a normal distribution, Student t
distribution, or neither. Claim: ? = 119. Sample data: ? = 15, ?̅ =
103, ? = 15.2. The sample data, for this simple random sample,
appear to come from a normally distributed population with unknown
? and ?.

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