Question

A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest is the________ in the village, the relevant population data are the________ in the village, and the population parameter of interest is the_______ .There are 590 men in the village, and the sum of their heights is 3,410.2 feet. Their average height is feet.Instead of measuring the heights of all the village men, the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men. The sample for his estimation is_______ , the relevant sample data are the_______ , and the sample statistic is the________ .If the sum of the heights of the 18 village men is 104.4 feet, their average height is_______ feet.

Answer 1

Answer:

The population mean height of men in the village is 5.78 feet.

The sample mean height of men in the village is 7.8 feet.

Step-by-step explanation:

It is provided that the researcher's interest is in knowing the average height of the men in a village.

To the researcher, the population of interest is the men in the village, the relevant population data are the height of men in the village, and the population parameter of interest is the mean height of men.

It is also provided that there are 590 men in the village, and the sum of their heights is 3,410.2 feet.

Compute the average height as follows:

$\bar X_{H}=\frac{3410.2}{590}=5.78\ \text{feet}$

Thus, the population mean height of men in the village is 5.78 feet.

It is given that the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men.

The sample for his estimation is 18 men, the relevant sample data are the heights of the 18 men, and the sample statistic is the sample mean height.

It is also given that the  sum of the heights of the 18 village men is 104.4 feet.

Compute the average height of the 18 men as follows:

$\bar x_{H}=\frac{104.4}{18}=7.8\ \text{feet}$

Thus, the sample mean height of men in the village is 7.8 feet.