Which of the following is an accurate definition for the power of a statistical test?

Asked by mw7444 on coursehero.com

21. What proportion of a normal distribution is located in the tail beyond z = -1.00?

Select one:

a.

0.8413

b.

-0.1587

c.

-0.3413

d.

0.1587

22. Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the expected value of M?

Select one:

a.

80

b.

80/3

c.

18

d.

6

23. Which of the following are requirements of a random sample?

Select one:

a.

The probabilities cannot change during a series of selections.

b.

There must be sampling with replacement.

c.

Every individual has an equal chance of being selected.

d.

There must be at least 100 observations.

24. In N = 25 games last season, the college basketball team averaged µ = 76 points with a standard deviation of σ = 6. In their final game of the season, the team scored 89 points. Based on this information, the number of points scored in the final game was ____.

Select one:

a.

impossible to determine because there is not enough information to compare last year with the average

b.

a little above average

c.

far above average

d.

above average, but it is impossible to describe how much above average

25. Which of the following is an accurate definition for the power of a statistical test?

Select one:

a.

The probability of rejecting a false null hypothesis

b.

The probability of supporting true null hypothesis

c.

The probability of rejecting a true null hypothesis

d.

The probability of supporting a false null hypothesis

26. If samples are selected from a normal population, the distribution of sample means will also be normal.

Select one:

a.

False

b.

True

27. A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero.

Select one:

a.

True

b.

False

28 A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 79?

Select one:

a.

0.2734

b.

0.3085

c.

0.7734

d.

0.2266

29. When is there a risk of a Type II error?

Select one:

a.

Whenever the decision is "fail to reject H0"

b.

Whenever H1 is rejected

c.

The risk of a Type II error is independent of the decision from a hypothesis test.

d.

Whenever H0 is rejected

30. Under what circumstances can a very small treatment effect still be significant?

Select one:

a.

If the standard error of M (σM) is very large

b.

All of the other three factors will result in a significant treatment effect.

c.

If the sample size (n) is very large

d.

If the sample standard deviation (σ) is very large

31. A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?

Select one:

a.

A sample mean much different than 80 for a large sample

b.

A sample mean much different than 80 for a small sample

c.

A sample mean near 80 for a small sample

d.

A sample mean near 80 for a large sample

32. A sample has M = 72 and s = 4. In this sample, what is the X value corresponding to z = -2.00?

Select one:

a.

X = 68

b.

X = 64

c.

X = 60

d.

X = 70

33 What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution.

Select one:

a.

0.8944

b.

0.2112

c.

0.1056

d.

0.3944

34When is there a risk of a Type I error?

Select one:

a.

Whenever the decision is "fail to reject H0"

b.

Whenever H0 is rejected

c.

The risk of a Type I error is independent of the decision from a hypothesis test.

d.

Whenever H1 is rejected

35You are a school psychologist and receive a report about a student who scores a z = 3.45 on a test assessing intelligence. What can you conclude about the student?

Select one:

a.

they are considered average intelligence

b.

there is not enough information to form conclusions about this student

c.

they are scoring WAY above average

d.

they are scoring WAY below average

36For a population with µ = 80 and σ = 10, what is the X value corresponding to z = -0.50?

Select one:

a.

-5

b.

75

c.

85

d.

79.5

37 A random sample of n = 4 scores is obtained from a normal population with µ = 20 and σ = 4. What is the probability that the sample mean will be greater than M = 22?

Select one:

a.

0.1587

b.

0.3085

c.

0.50

d.

1.00

38. The distribution of sample means ____.

Select one:

a.

will be normal if either the population is normal or the sample size is n ≥ 30

b.

is always a normal distribution

c.

will be normal only if the population distribution is normal

d.

will be normal only if the sample size is at least n = 30

39Which of the following accurately describes the critical region?

Select one:

a.

Outcomes with a very low probability if the null hypothesis is true

b.

Outcomes with a high probability if the null hypothesis is true

c.

Outcomes with a high probability whether or not the null hypothesis is true

d.

Outcomes with a very low probability whether or not the null hypothesis is true

40Which of the following accurately describes the critical region?

Select one:

a.

Outcomes with a very low probability if the null hypothesis is true

b.

Outcomes with a high probability if the null hypothesis is true

c.

Outcomes with a high probability whether or not the null hypothesis is true

d.

Outcomes with a very low probability whether or not the null hypothesis is true

Answered by ProfMaskFalcon4 on coursehero.com

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