In Testing the Hypotheses $H _ { 0 } :$ The Two Population Locations Are the Same

question 61

Essay

In testing the hypotheses: $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The two population locations are different,
with data drawn from a matched pairs experiment, the following statistics are calculated: $n = 40$ , $T ^ { + } = 238$ , $T ^ { - } = 582$ .
a. Which test is used for testing the hypotheses above?
b. What is the p-value of this test?

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Definitions:

Geometric Average

A method of calculating the average rate of return of a set of values multiplicatively linked together, commonly used to determine the performance of investments over time.

Compounding Principle

The process in which an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings over time.

Rate of Return

A percentage representing the gain or loss on an investment over a specified period, relative to its cost.

Statistically Significant

A determination that a result from data analysis is likely not due to chance at a predetermined level of significance.