Assume That Under the Null Hypothesis $\bar { Y }$ Has an Expected Value of 500 and a Standard Deviation

question 29

Essay

Assume that under the null hypothesis, $\bar { Y }$ has an expected value of 500 and a standard deviation of 20. Under the alternative hypothesis, the expected value is 550. Sketch the probability density function for the null and the alternative hypothesis in the same figure. Pick a critical value such that the p-value is approximately 5%. Mark the areas, which show the size and the power of the test. What happens to the power of the test if the alternative hypothesis moves closer to the null hypothesis, i.e.,, ${ } ^ { \mu } \gamma$ = 540, 530, 520, etc.?

Explain the implications of sexual selection for speciation.

Identify examples of speciation occurring with and without geographic isolation.

Understand the role of genetic mechanisms in reproductive isolation and speciation.

Describe the importance of ecological opportunities and selection pressures in speciation.

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Definitions:

Heckscher-Ohlin Theorem

A theory that explains the existence of a country’s comparative advantage by its factor endowments: A country has a comparative advantage in the production of a product if that country is relatively well endowed with inputs used intensively in the production of that product.

Resource Allocation

The process of assigning and managing assets in a manner that supports an organization's strategic goals.

Resource Constraints

Limitations on the availability of resources, which can restrict output, growth, and efficiency.

Trade Between Two Countries

The exchange of goods and services across international borders between two nations, facilitating access to foreign markets and resources.