An electroencephalogram (EEG) is often used to measure brain, or neural, activity. Research suggests that transcendental...

An electroencephalogram (EEG) is often used to measure brain, or neural, activity. Research suggests that transcendental meditation – TM – produces a simplified state of rest and relaxation resulting in an EEG with smaller than normal 22 variance. Suppose normal brain activity has a variance of σ^2 =15volts. A random sample of patients who can achieve the state of consciousness associated with TM will be selected and their brain activity will be measured during meditation. The resulting information will be used to test the research hypothesis.

State the null and alternative hypotheses in terms of variance.
DescribeType1and Type2 errors in this context.If there is evidence to suggest that TM decreases the variance in brain activity, the National Science Foundation will commit more money for TM research.

i. Which error is more serious for the National Science Foundation? Why?

ii. Which errors more serious for TM researchers? Why?

Expert Solution

Null Hypothesis H0: The variance in brain activity by transcendental meditation (TM) is 15 volts. That is,

Alternative Hypothesis Ha: The variance in brain activity by transcendental meditation (TM) is less than15 volts. That is, .

Type 1 error is rejection of a true null hypothesis. In this context, Type 1 error is that we conclude the variance in brain activity by transcendental meditation (TM) is less than15 volts but in reality the variance in brain activity by transcendental meditation (TM) is normal and equal to 15 volts.

Type 2 error is failure to reject a false null hypothesis. In this context, Type 2 error is that we cannot conclude the variance in brain activity by transcendental meditation (TM) is less than15 volts and the variance is normal but in reality the variance in brain activity by transcendental meditation (TM) is less than15 volts.

i.

If there is evidence to suggest that TM decreases the variance in brain activity, the National Science Foundation will commit more money for TM research. Thus, if we conclude the variance in brain activity by transcendental meditation (TM) is less than15 volts, National Science Foundation will commit more money for TM research but the money will be lost if in reality the variance in brain activity by transcendental meditation (TM) is normal and equal to 15 volts. So, type 1 error is more serious for the National Science Foundation.

ii.

If TM researchers cannot conclude that the variance in brain activity by transcendental meditation (TM) is less than15 volts but in reality the variance in brain activity by transcendental meditation (TM) is less than15 volts, TM researchers would fail to prove their success of the research. So, type 2 error is more serious for TM researchers.

orchestra answered 1 year ago

When recording an EEG, electrical activity in the brain is absent if the subject: Select one:...

When recording an EEG, electrical activity in the brain is absent if the subject: Select one: a. All of the above b. Is asleep c. Is dead d. Has her eyes shut e. Is lying down

GDP is often used as a measure of well-being. Is it a reasonable measure of well-being?...

GDP is often used as a measure of well-being. Is it a reasonable measure of well-being? If so, why does Norway with its high standard of living have a relatively low GDP? Why do India and China, with their relatively low standards of living have some of the highest GDP in the world?

What are neural networks, and how do neural networks relate to localized and global brain functioning?...

What are neural networks, and how do neural networks relate to localized and global brain functioning? What does our knowledge of neural networks tell us about how the brain processes information? How do PET scans and fMRI allow us to see the flow of information throughout networks?

The first ‘Real Life’ in ‘When should ABC be used?’ suggests that the adoption of activity-based...

The first ‘Real Life’ in ‘When should ABC be used?’ suggests that the adoption of activity-based costing in Australia and New Zealand has not been as high as one might expect. What limitations and other challenges to implementing activity-based costing may be impacting the adoption of activity-based costing?

Protectionism is often used as a measure to enhance the manufacturing and sales of goods domestically....

Protectionism is often used as a measure to enhance the manufacturing and sales of goods domestically. For this discussion, you will need to research one specific element of protectionism. In your post, you will define the element of protectionism and share your example of how it is being used in the country that you researched.

Experimental research is not used very often in marketing research. Why is that? Why are most...

Experimental research is not used very often in marketing research. Why is that? Why are most marketing research studies descriptive instead of experimental? Briefly explain how a new soda might try to create a study using an experimental design to determine if consumers like the taste of its new cola product. What challenges would the soda company face in creating that design? Could the company use a quasi-experimental design instead? If so, which design might it use and why? Why...

This is a point when an activity is either started or completed. Often used in conjunction...

This is a point when an activity is either started or completed. Often used in conjunction with AOA networks, events consume no resources and have no time to completion associated with them. Select one: a. Event b. Milestone c. Task point d. Path This is a network analysis technique used to determine the amount of scheduling flexibility (the amount of float) on various logical network paths in the project schedule network, and to determine the minimum total project duration. It...

Question

An electroencephalogram (EEG) is often used to measure brain, or neural, activity. Research suggests that transcendental...

Solutions

Expert Solution

Related Solutions