Question

Give an example of interest to you for comparing two population means. Identify the variable under consideration and the two populations.

Short answer

$H_0·{\mu }_1={\mu }_2$

(In both categories, the mean age of buyers is the same.)

$H_1:{\mu }_1>{\mu }_2$

(The average age of domestic buyers is older than that of foreign buyers.)

Step-by-step solution

Given information

Determine the variable to be compared in order to calculate an example for comparing two population means.

Explanation

The automobile sector is one of the country's most thriving industries. Autos can be classified into two categories on a larger scale: domestic and foreign cars. It is a general observation that the age of buyers in both categories differs. To establish the average age of new automobile buyers in both categories, a sample poll might be done.

In this case, the variable is the age of new car buyers.

There are two types of buyers: those who buy new domestic cars and those who buy new foreign cars.

${\mu }_1=$Mean age of buyers of new domestic cars

${\mu }_1=$Mean age of buyers of new imported cars

Hypothesis test:

$H_0:{\mu }_1={\mu }_2$

(In both categories, the mean age of buyers is the same.)

$H_1:{\mu }_1>{\mu }_2$

(The average age of domestic buyers is older than that of foreign buyers.)