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# MCQs: Statistics Questions

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I need help with answering these 9 questions.

1) "µ = 17" is an appropriate null hypothesis.
A.
True
B.
False

2) If the p-value is less than a in a two-tailed test, the null should be rejected.
A.
True
B.
False

3) A Type II error is committed when we reject a null hypothesis that is true.
A.
True
B.
False

4) We have created a 95% confidence interval for µ with the result [10, 15]. What conclusion will we make if we test H0: µ = 16 versus H1: µ ? 16 at a = 0.05?
A.
Accept the null.
B.
Reject the null and conclude the alternative.
C.
Fail to reject the null.
D.
We cannot tell what our decisions will be from the information.

5) You performed a right-tailed hypothesis test and your sample gave you a test statistic in the left tail. Which of the following is considered the appropriate next step in this test?
A.
Fail to reject the null.
B.
Change the level of significance of your test.
C.
Change the direction of the hypothesis.
D.
Change the sample and do the test again.

6) In classical hypothesis testing, the test statistic is to the critical value what the ________________.
A.
p-value is to alpha
B.
test statistic is to the p-value
C.
critical value is to alpha
D.
level of significance is to the test statistic

7) The pooled variance of the two samples is the average of the sample variances when n1 = n2.
A.
True
B.
False

8) Which of the following statements is false for an F-distribution?
A.
Variables that are F distributed range from 0 to 8.
B.
Degrees of freedom for the denominator are always smaller than degrees of freedom for the numerator.
C.
The exact shape of the distribution is determined by two numbers of degrees of freedom.
D.
Degrees of freedom for the numerator may be larger, smaller, or equal to the degrees of freedom for the denominator.

9) In a test of the equality of two means, the variable of interest is the difference between the values of the observations, rather than the observations.
A.
True
B.
False