1. Identify the population, sample, and the variable of interest in each of the

Question

1. Identify the population, sample, and the variable of interest in each of the following cases. Also, mention whether the variable is qualitative or quantitative. If the variable is quantitative, state whether it is discrete or continuous (a) A business executive hypothesizes that the average annual income of her customers is $40,000. To test her hypothesis, she selects 20 of her customers at random and determines the annual income of each. (b) 74 UNG students were selected at random and asked if they wanted more parking on campus.

Explanation / Answer

Question 1

Population in a statistical study refers to the full set of all the possible observations of the variable under study. Sample is a finite sized set of observations collected from the population. And variable of interest is that variable for which, it is desired to verify certain beliefs by conducting the statistical study.

Going by above definitions, we get following:

Part (a) :

Population : Set of all the customers of the business executive.

Sample : Set of randomly selected 20 customers of the business executive.

Variable of Interest : Annual income of the customer of business executive.

Part (b) :

Population: Set of all the UNG students.

Sample : Set of randomly selected 74 UNG students.

Variable of Interest : Each student's opinion in "Yes" or "No", regarding the need for more parking on campus.

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