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In na factory there are 48 employees with employee code from 1 to 48 the employer desires to take the sample of every sixth employeee under thge systematic sampling techique, the sample size will be
- a)6
- b)8
- c)10
- d)7
Correct answer is option 'B'. Can you explain this answer?
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In na factory there are 48 employees with employee code from 1 to 48 t...
The systematic sampling technique is a type of probability sampling method where every nth item in a population is selected to be a part of the sample. In this case, the employer wants to take a sample of every sixth employee in a factory with 48 employees.
To determine the sample size, we need to find the value of n, which represents the interval between each selected employee. The formula to calculate the interval is:
n = population size / sample size
In this case, the population size is 48 employees, and we need to determine the sample size. Let's calculate the value of n:
n = 48 / sample size
To find the sample size, we need to find a value of n that is a whole number and the smallest possible value. This is because we want to include every sixth employee in the sample.
Let's calculate the value of n for different sample sizes:
For a sample size of 6:
n = 48 / 6 = 8
For a sample size of 8:
n = 48 / 8 = 6
For a sample size of 10:
n = 48 / 10 = 4.8
For a sample size of 7:
n = 48 / 7 = 6.86
Based on the calculations, we can see that the value of n is a whole number and the smallest possible value for a sample size of 8. Therefore, the correct answer is option B, which states that the sample size is 8.
By selecting every sixth employee, the systematic sampling technique ensures that the sample represents the entire population in a systematic and unbiased manner. This allows for generalizations to be made about the population based on the characteristics observed in the sample.
To determine the sample size, we need to find the value of n, which represents the interval between each selected employee. The formula to calculate the interval is:
n = population size / sample size
In this case, the population size is 48 employees, and we need to determine the sample size. Let's calculate the value of n:
n = 48 / sample size
To find the sample size, we need to find a value of n that is a whole number and the smallest possible value. This is because we want to include every sixth employee in the sample.
Let's calculate the value of n for different sample sizes:
For a sample size of 6:
n = 48 / 6 = 8
For a sample size of 8:
n = 48 / 8 = 6
For a sample size of 10:
n = 48 / 10 = 4.8
For a sample size of 7:
n = 48 / 7 = 6.86
Based on the calculations, we can see that the value of n is a whole number and the smallest possible value for a sample size of 8. Therefore, the correct answer is option B, which states that the sample size is 8.
By selecting every sixth employee, the systematic sampling technique ensures that the sample represents the entire population in a systematic and unbiased manner. This allows for generalizations to be made about the population based on the characteristics observed in the sample.
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In na factory there are 48 employees with employee code from 1 to 48 the employer desires to take the sample of every sixth employeee under thge systematic sampling techique, the sample size will bea)6b)8c)10d)7Correct answer is option 'B'. Can you explain this answer?
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