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-BARSIC- [3]
3 years ago
6

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al

phabetical list of all 6584 employees at the company and wants to conduct a systematic sample of size 70.
a. What is k?
b. Determine the individuals who will be administered the survey.
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

a. <em>k</em> = 94

b. Every 94th individual.

Step-by-step explanation:

Systematic sampling is a type of probability sampling where a random sample is selected from a large population by first dividing the whole population into <em>n</em> groups and selecting every \frac{N}{n}=k^{th} individual from each group.

The population size is: <em>N</em> = 6584.

The sample size is, <em>n</em> = 70

The number groups is, 70.

Each consisting of \frac{6584}{70}=94.057\approx 94 individuals.

(a)

The <em>k</em>th individual will be the 94th individual from each group.

Thus, <em>k</em> = 94.

(b)

The individuals who will be administered the survey are the 94th individual of all the 70 groups.

 

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