Question

1. TRUE OR FALSE: The *t* distribution is a family of
curves that vary with the degrees of freedom.

2. TRUE OR FALSE: The *t* distribution is a family of
curves that vary with the degrees of freedom.

3. The sample mean is an example of _________.

A. interval estimation

B. point estimation

C. confidence point

D. confidence numbers

3. How many *t* distributions are there?

A. 1

B. 2

C. 30

D. one for each value of df

Answer #1

1. Are the following statements TRUE
or FALSE?:
(a) According to the Central Limit Theorem, given a large sample
size (N > 30), then a normal probability plot of the
same data would necessarily follow a straight line.
(b) A 95% confidence interval for a population mean that does
not include zero would also mean that a hypothesis test on the same
data would yield a significant result at the .05 level.
(c) The mean of a t-distribution with 5...

1. For a t distribution with k degrees of freedom,
(t(k)), what does this distribution approach as k increases?
Why?
2. How do t distributions help one to analyze samples
from normal distributions?

The family of t distribution curves and the standard
normal curve have means of _____ and _____, respectively.
Multiple Choice
0; 0
0; 1
1; 0
1; 1

1. True or False? A ChiSquare distribution and a normal
distribution will always have the same shape?
2. What is the minimum value that a ChiSquare distribution can
have?
3. Which ChiSquare distribution has a higher peak; One that has
15 degrees of freedom or one that has 5 degrees of freedom.
4. True or False? If the differences between observed
values and an expected values are small, you will get a large
ChiSquare Statistic.
5. Explain in 4-6 sentences why...

Determine if the statements below are true or false:
The chi-square distribution, just like the normal distribution,
has two parameters, mean and standard deviation.
The chi-square distribution is always right skewed, regardless
of the value of the degrees of freedom parameter.
The chi-square statistic is always positive.
As the degrees of freedom increases, the shape of the chi-square
distribution becomes more skewed.
"If you found χ2 = 10 with df = 5, you would fail to reject the
Null hypothesis...

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...

1) Determine whether the statements are true/ false.
a. T F
The probability of making a type II error is related to
the power of a statistical test
b. T
F When I compare
two estimates of the mean, the one with a smaller standard error
has
less precision
c. T F
If I do
cluster sampling, the sample mean is always within the 95%
confidence interval.
d. T
F
If I do simple random sampling, the true...

TRUE / FALSE ?
In the scope of our class, we use the t- distributions to
constrict confidence intervals for
1. Difference in 2 population proportions
2. Population mean of paired differences (2 dependent
samples)
3. Difference in 2 population means for independent samples

Given a variable that has a t distribution with the specified
degrees of freedom, what percentage of the time will its value fall
in the indicated region? (Round your answers to one decimal
place.)
(a) 10 df, between -1.81 and 1.81
%
(b) 10 df, between -2.23 and 2.23
%
(c) 24 df, between -2.06 and 2.06
%
(d) 24 df, between -3.47 and 3.47
%
(e) 24 df, outside the interval from -2.80 to 2.80
%
(f) 24 df,...

Given a variable that has a t distribution with the specified
degrees of freedom, what percentage of the time will its value fall
in the indicated region? (Round your answers to one decimal
place.)
(a) 10 df, between -2.23 and 2.23
___ %
(b) 10 df, between -3.17 and 3.17
___%
(c) 24 df, between -2.49 and 2.49
___%
(d) 24 df, between -3.47 and 3.47
___%
(e) 23 df, outside the interval from -2.81 to 2.81
___%
(f) 24...

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