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If the population S.D. is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is:
  • a)
    0.83
  • b)
    0.80
  • c)
    0.93
  • d)
    0.74
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the population S.D. is known to be 5 for a population containing 80...
Calculation of Standard Error of Sample Mean for a Sample of Size 25 without Replacement

Given data:
Population standard deviation (σ) = 5
Population size (N) = 80
Sample size (n) = 25

Formula for Standard Error of Sample Mean (SE):
SE = σ/√n

Formula for Adjusting Standard Error when Sampling is Done Without Replacement:
SE' = SE x √(N-n)/(N-1)

Calculating Standard Error (SE):
SE = σ/√n
SE = 5/√25
SE = 1

Adjusting Standard Error (SE') for Sampling without Replacement:
SE' = SE x √(N-n)/(N-1)
SE' = 1 x √(80-25)/(80-1)
SE' = 1 x √55/79
SE' = 1 x 0.93
SE' = 0.93

Therefore, the standard error of sample mean for a sample of size 25 without replacement is 0.83 (option A).
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If the population S.D. is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is:a)0.83b)0.80c)0.93d)0.74Correct answer is option 'A'. Can you explain this answer?
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If the population S.D. is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is:a)0.83b)0.80c)0.93d)0.74Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the population S.D. is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is:a)0.83b)0.80c)0.93d)0.74Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the population S.D. is known to be 5 for a population containing 80 units, then the standard error of sample mean for a sample of size 25 without replacement is:a)0.83b)0.80c)0.93d)0.74Correct answer is option 'A'. Can you explain this answer?.
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