Question

**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 significance*a*, as the
sample size increases, the critical t-value becomes smaller but
remains larger than Z-value.

9. When constructing a confidence interval for a sample Mean, the t distribution is appropriate whenever the sample size is small, whether population standard deviation is known or not.

14. The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used in making a certain brand of radial tire. She knows the population standard deviation and uses a Z test to test the null hypothesis that the mean tensile strength is 800 pounds per square inch. The calculated Z test statistic is a positive value that leads to a p-value of .055 for the test. If the significance level is .05, the null hypothesis would be rejected.

15. The larger the p-value, the less we doubt the null hypothesis.

19. Everything else being constant, increasing the sample size decreases the probability of committing a Type II error.

21. The Coefficient of Determination does not show the direction of relationship between the dependent and the independent variables.

24. If there is a strong correlation between the independent and dependent variable, we may not expect that an increase in the value of the independent variable is associated with an increase in the value of the dependent variable.

**25.** In simple linear regression analysis, if
the error terms exhibit a positive or negative autocorrelation over
time, then the assumption of constant variance is violated.

Answer #1

True or false:
1. When constructing a confidence interval for a sample
Mean, the t distribution is appropriate whenever the sample size is
small.
2. The sampling distribution of X (X-bar) is not always
a normal distribution.
3. The reason sample variance has a divisor of n-1
rather than n is that it makes the sample standard deviation an
unbiased estimate of the population standard
deviation.
4. The error term is the difference between the actual
value of the dependent...

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....

Label as True or False
When the population standard deviation is known you can always
use a critical Z value to construct a confidence
interval__________
In a hypothesis test, if P > α then we reject
H0__________
After calculating a minimum sample size you should always bump
up to the next whole number for your final answer __________
In a hypothesis test, the type of test (left, right or
two-tailed) is determined by inequality/equality symbol associated
with the original claim____________...

1. mean and variance of a Poisson probability distribution are
always equal to each other. ( Correct or Wrong)
2, the value of mean population is compulsory to conduct a t
test significance analysis ( Correct or Wrong)
3. the Binomial probability distribution only applicable when
when p= 0.50 ( Correct or Wrong)
4. Z TEST can be used to access if a null hypothesis can be
accepted or not for a case with 8 sample size ( Correct or...

To find the sampling distribution of x bar, we need to:
Group of answer choices
Compute the mean of the standard error
Compute the mean of the proportion
Collect many samples, then find the mean of each sample
Collect many samples, then find the mean of the proportion
To use the Central Limit Theorem:
Group of answer choices
We need to know the type of distribution the underlying
population follows
We do not need to know the type of distribution...

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...

The ______________ hypothesis determines the region of the
sampling distribution that is used in the hypothesis test. If this
hypothesis states that the mean is less than a value, then we
should use a _________-tailed test. If this hypothesis states that
the mean is greater than a value, then we should use a
__________-tailed test. If this hypothesis states that the mean is
not equal to a value, then we should use a __________-tailed test.
In a statistical test, if...

Indicate whether the
following statement is true or false.
The sampling
distribution of the sample mean (x-bar) will at least approximately
be normally distributed either if X is normally distributed or if
the sample size (n) is larger than 30.

a. What is the standard error of a sampling
distribution? (out of the following)
the mean, the probability, the bias, the standard deviation, or
the variance
b. What is the standard deviation of a sampling
distribution called? (out of the following)
the spread, the variance, the standard error, the mean, the
standard variance
c. List two unbiased estimators and their
corresponding parameters. (Select all that apply out of the
following.)
μ is an unbiased estimator for x-bar, p is an...

Decide whether the normal sampling distribution can be used. If
it can be used, test the claim about the population proportion p
at the given level of significance
alphaα
using the given sample statistics.Claim:
pnot equals≠0.24;
alphaαequals=0.10;
Sample statistics:
ModifyingAbove p with caretpequals=0.21,
nequals=200
Can the normal sampling distribution be used?
state the null and alternative hypothesis.
determine the critical value.
find the z-test statistic.
what is the result of the test?
Reject
Upper H 0H0.
The data provide sufficient...

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