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Calculus and Above# A 'rare' outcome, due to an extreme value found sample mean

**Submitted:** 2 years ago.**Category: **Calculus and Above

Customer Question

A 'rare' outcome, due to...

A 'rare' outcome, due to an extreme value found for the sample mean relative to the population mean, signifies that the null hypothesis should be:

a.

retained

b.

rejected

c.

accepted

d.

none of the above

1 points Saved

Question 2

To express a sample mean as a Z value:

a.

subtract the hypothesized population mean and divide by the standard deviation.

b.

subtract the hypothesized population mean.

c.

subtract the hypothesized population mean and divide by the standard error of the mean.

d.

subtract the hypothesized population mean and divide by the variance.

1 points Saved

Question 3

Given critical z values of ±1.96 and an observed z value of -2.40, the appropriate decision is to:

a.

retain the null hypothesis

b.

neither retain nor reject, but increase the size of the sample

c.

neither retain nor reject, but conduct another investigation

d.

reject the null hypothesis

1 points Saved

Question 4

Given an observed difference between a sample mean of 42 and a hypothesized population mean of 50, you:

a.

can retain, but not accept, the null hypothesis

b.

can conclude that the alternative hypothesis is true

c.

must determine whether this observed difference can reasonably be attributed to chance

d.

can conclude that the null hypothesis is true

1 points Saved

Question 5

A decision to reject the null hypothesis implies that:

a.

there is a lack of support for the alternative hypothesis

b.

there is support for the alternative hypothesis

c.

the sample is probably not representative

d.

the sample size is probably too small

e.

none of the above

1 points Saved

Question 6

Compared to a two-tailed hypothesis test, a one-tailed test is more likely to detect a:

a.

true null hypothesis in the direction of concern

b.

false null hypothesis

c.

false null hypothesis in the direction of concern

d.

true null hypothesis

1 points Saved

Question 7

When the rejection of a true null hypothesis would have unusually disastrous consequences, it is best to set your level of significance equal to:

a.

.10

b.

.05

c.

.01

d.

.001

1 points Saved

Question 8

If your observed sample mean were exactly equal to your population mean (assuming some moderate variation in both the sample and the population), then your z value would be:

1.

1.96

2.

1.65

3.

2.58

4.

0

5.

not enough information to determine

1 points Saved

Question 9

In an experiment to determine whether TV cartoons produce more aggressive behavior in grade school children, the null hypothesis would state that TV cartoons have:

a.

an effect on aggressive behavior

b.

no effect on aggressive behavior

c.

a statistically significant effect on aggressive behavior

d.

only a slight effect on aggressive behavior

1 points Save Answer

Question 10

If the null hypothesis is in reality false, and the z value of the randomly selected sample doesn't deviate beyond the critical z value, the null hypothesis will be:

1.

correctly retained

2.

correctly rejected

3.

incorrectly retained

4.

incorrectly rejected

1 points Save Answer

Question 11

Two ways to increase the likelihood of detecting a real effect are to _______ sample size and to _______ alpha.

a.

increase; increase

b.

increase; decrease

c.

decrease; decrease

d.

decrease; increase

1 points (Extra Credit) Save Answer

Question 12

You're testing a new vitamin pill that could save many lives if it works even a little bit, and would do no harm even if it did not have any real effect. Given that there is often a trade off between risking Type I and Type II error, which type should you concentrate on minimizing in this situation?

a.

Type I error

b.

Type II error

c.

both Type I and Type II error are equally bad

d.

Type III error; I don't know what it is, but I don't like it.

a.

retained

b.

rejected

c.

accepted

d.

none of the above

1 points Saved

Question 2

To express a sample mean as a Z value:

a.

subtract the hypothesized population mean and divide by the standard deviation.

b.

subtract the hypothesized population mean.

c.

subtract the hypothesized population mean and divide by the standard error of the mean.

d.

subtract the hypothesized population mean and divide by the variance.

1 points Saved

Question 3

Given critical z values of ±1.96 and an observed z value of -2.40, the appropriate decision is to:

a.

retain the null hypothesis

b.

neither retain nor reject, but increase the size of the sample

c.

neither retain nor reject, but conduct another investigation

d.

reject the null hypothesis

1 points Saved

Question 4

Given an observed difference between a sample mean of 42 and a hypothesized population mean of 50, you:

a.

can retain, but not accept, the null hypothesis

b.

can conclude that the alternative hypothesis is true

c.

must determine whether this observed difference can reasonably be attributed to chance

d.

can conclude that the null hypothesis is true

1 points Saved

Question 5

A decision to reject the null hypothesis implies that:

a.

there is a lack of support for the alternative hypothesis

b.

there is support for the alternative hypothesis

c.

the sample is probably not representative

d.

the sample size is probably too small

e.

none of the above

1 points Saved

Question 6

Compared to a two-tailed hypothesis test, a one-tailed test is more likely to detect a:

a.

true null hypothesis in the direction of concern

b.

false null hypothesis

c.

false null hypothesis in the direction of concern

d.

true null hypothesis

1 points Saved

Question 7

When the rejection of a true null hypothesis would have unusually disastrous consequences, it is best to set your level of significance equal to:

a.

.10

b.

.05

c.

.01

d.

.001

1 points Saved

Question 8

If your observed sample mean were exactly equal to your population mean (assuming some moderate variation in both the sample and the population), then your z value would be:

1.

1.96

2.

1.65

3.

2.58

4.

0

5.

not enough information to determine

1 points Saved

Question 9

In an experiment to determine whether TV cartoons produce more aggressive behavior in grade school children, the null hypothesis would state that TV cartoons have:

a.

an effect on aggressive behavior

b.

no effect on aggressive behavior

c.

a statistically significant effect on aggressive behavior

d.

only a slight effect on aggressive behavior

1 points Save Answer

Question 10

If the null hypothesis is in reality false, and the z value of the randomly selected sample doesn't deviate beyond the critical z value, the null hypothesis will be:

1.

correctly retained

2.

correctly rejected

3.

incorrectly retained

4.

incorrectly rejected

1 points Save Answer

Question 11

Two ways to increase the likelihood of detecting a real effect are to _______ sample size and to _______ alpha.

a.

increase; increase

b.

increase; decrease

c.

decrease; decrease

d.

decrease; increase

1 points (Extra Credit) Save Answer

Question 12

You're testing a new vitamin pill that could save many lives if it works even a little bit, and would do no harm even if it did not have any real effect. Given that there is often a trade off between risking Type I and Type II error, which type should you concentrate on minimizing in this situation?

a.

Type I error

b.

Type II error

c.

both Type I and Type II error are equally bad

d.

Type III error; I don't know what it is, but I don't like it.

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