The population of interest is the population you are trying to draw an inference about from the collected data sets. For example if you are interested in the average height of a college student on the east coast then the population of interest would be all college students on the east coast. If you are trying to find out the compressive strength of a certain concrete mixture then the population of interest is all types of concrete of this type.
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It is the population which you are studying.
Convenience sample
The population is a group of interest, such as the people who filled out a recent survey about their age. The parameter is the descriptive measure of that population. So in this example, a parameter could be the average age of the people who filled out the survey.
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The formula for population growth is based on the formula for interest. The formula is Final Population is equal to Initial Population multiplied by e raised to the power of the product of the rate of growth multiplied by the time of growth, or P(f) = P(o) * e ^ (rt).