Question

Which of the following is a true statement regarding the comparison of the standard normal distribution to the t-distribution? I. The normal distribution is symmetrical whereas the t-distribution is slightly skewed II. The greater the degrees of freedom, the more the t-distribution resembles the standard normal distribution. III. For small n, the t-distribution has wider tails than the standard normal curve. a. I only b. II only c. III only d. II and III e. All of the ab

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Answer #1

The following statements are true regarding the comparison of the standard normal distribution to the t distribution.

II. The greater the degrees of freedom the more the t-distribution resembles the standard normal distribution.

Since increasing the degrees of freedom, narrows tails of the curve.

III. For small n the t-distribution has wider tails than the standard normal curve.

Therefore correct choice is d. II and III.

I is False, since t distribution is also symmetric distribution, but have a wider tails.

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...

Which of the following says something true about the F
distribution?
I. To specify an F distribution, we would need to state a
numerator degrees of freedom and a denominator degrees of
freedom.
II. F distributions are generally right-skewed.
III. F distributions are used in the ANOVA table to calculate
the p-value of a probability expression that uses the
F-statistic.
Group of answer choices
a. I only
b. II only
c. III only
d. I, II and III

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...

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,...

Consider the following statements concerning the normal
distribution.
(i) The normal distribution is symmetric and unimodal.
(ii) The normal distribution is useful for approximating some
discrete distributions.
(iii) Only knowledge of the mean and variance is required to
completely specify a normal distribution.
A.
Only (i) and (ii) are true.
B.
All of (i), (ii) and (iii) are true.
C.
Only (i) is true.
D.
Only (i) and (iii) are true.

Which of the following statement is true regarding the magnetic
probe used in lab?
If the probe obtains a zero reading, when flipped 180 degress,
the probe will still obtain a zero reading.
If the probe obtains a positive reading, when flipped 180
degress, the probe will obtain a negative reading.
a) Only I is true.
b)Only II is ture.
c) Both I and II are true.
d) Neither I nor II is true.

1) With a normal probability distribution curve, identify which
statement is false:
>all the possible probabilities are
under the curve.
>the area under the curve is
<1
>the left side is a mirror image of
the right side of the curve
>the probability that an item could
have 5 grams less weight and 5 grams more weight is the same.
2) Asymptotic is the term used to show that the tails of a
normal distribution:
...

Q1. Suppose that Z has a standard normal distribution (with mean
0 and a standard deviation of 1, as in Table E.2). a. What is the
probability that:
i) Z is less than 1.45
ii) Z is greater than 1.55
iii) Z is between 1.45 and 1.55
b. What is the value of Z if only 10% of all possible Z values
are larger?

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.

1) Which of the following statements is true regarding bank
charters?
I. National banks are chartered by the U.S. comptroller of the
currency.
II. Banks may be chartered at either the national or state
level.
III. Only nationally-chartered banks can be members of the Federal
Reserve System
Select one:
A. I and II only
B. I and III only
C. II and III only
D. I, II, and III
2) Which of the following is true concerning commercial
paper?
I....

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