Download 1. Which of the following statements concerning the one sample t

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Exam, Form: A
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1. Which of the following statements concerning the one sample t-test is not true?
(a)
One rejects the null hypothesis, if the p-value is smaller than the significance level α.
(b)
One rejects the null hypothesis if t =
(c)
The acceptance region corresponds to a confidence interval about µ0 .
(d)
t-tests are based upon the assumption that the data come from a t-distribution.
x̄−µ0
σ
exceeds a critical value (tcrit ).
2. Which of the following statements regarding α and β is not true?
(a)
α is the type I error.
(b)
β is the type II error.
(c)
α is the probability of falsely rejecting the null hypothesis.
(d)
β is the probability of falsely accepting the alternative hypothesis.
(e)
1 − β is the power of a test.
3. Which of the following statements regarding α and β is not true? (Assume that we are faced
with the problem if a threshold is exceeded.)
(a)
α is the probability of a false positive result.
(b)
β is the probability of a false negative result.
(c)
1 − α is the probability of a true negative result.
(d)
1 − β is the probability of a true positive result.
(e)
1 − β is the power of the test.
(f)
α and 1 − β always add up to 1.
4. Which of the following statements concerning a paired t-test is not truje?
(a)
The data must come from two normally distributed groups.
(b)
The theory is essentially based on taking differences between the two groups.
(c)
Paired t-tests are used when there are two measurements on the same experimental
unit.
(d)
It is assumed the differences have a distribution that is independent of the level of
the property under study.
(e)
One gets the same result, if one performs a two-sample t-test instead.
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Answer Key for Exam A
1. Which of the following statements concerning the one sample t-test is not true?
(a)
One rejects the null hypothesis, if the p-value is smaller than the significance level α.
(b)
One rejects the null hypothesis if t =
(c)
The acceptance region corresponds to a confidence interval about µ0 .
(d)
t-tests are based upon the assumption that the data come from a t-distribution.
x̄−µ0
σ
exceeds a critical value (tcrit ).
2. Which of the following statements regarding α and β is not true?
(a)
α is the type I error.
(b)
β is the type II error.
(c)
α is the probability of falsely rejecting the null hypothesis.
(d)
(e)
β is the probability of falsely accepting the alternative hypothesis.
1 − β is the power of a test.
3. Which of the following statements regarding α and β is not true? (Assume that we are faced
with the problem if a threshold is exceeded.)
(a)
α is the probability of a false positive result.
(b)
β is the probability of a false negative result.
(c)
1 − α is the probability of a true negative result.
(d)
1 − β is the probability of a true positive result.
(e)
1 − β is the power of the test.
(f)
α and 1 − β always add up to 1.
4. Which of the following statements concerning a paired t-test is not truje?
(a)
The data must come from two normally distributed groups.
(b)
The theory is essentially based on taking differences between the two groups.
(c)
Paired t-tests are used when there are two measurements on the same experimental
unit.
(d)
It is assumed the differences have a distribution that is independent of the level of
the property under study.
(e)
One gets the same result, if one performs a two-sample t-test instead.
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