126k views
5 votes
6. A study group is interested in estimating the average monthly income of 2000 employees. It decides to select a random sample of 70 female and 130 male employees using proportional allocation. Identify sampling method

User Hywak
by
8.1k points

1 Answer

0 votes

Answer:

Explanation:

The sampling method described in this scenario is proportional allocation.

Proportional allocation is a method used in statistics to select a sample from a population in a way that the proportion of each subgroup within the sample is representative of the proportion of that subgroup in the entire population.

In this case, the study group is interested in estimating the average monthly income of both female and male employees. They have information that there are 2000 employees in total, with 70 females and 130 males. To perform proportional allocation:

1. The proportion of females in the population is 70 / 2000 = 0.035.

2. The proportion of males in the population is 130 / 2000 = 0.065.

They then select a sample of 70 female employees and 130 male employees. This ensures that the ratio of female to male employees in the sample reflects the same ratio in the entire population. This method helps in obtaining a more accurate representation of the population's characteristics and is particularly useful when different subgroups in the population have varying sizes.

User SpazzMarticus
by
8.6k points

No related questions found