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 For a given sample of 200 items drawn from a large population, the mean is 65 and the standard deviation is 8. Find the 95% confidence limits for the population mean: 
  • a)
    [67.11, 63.89]
  • b)
    [66.11, 63.89]
  • c)
    [68.11, 65.89]
  • d)
    none 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For a given sample of 200 items drawn from a large population, the mea...
Finding 95% Confidence Limits for Population Mean

Given:

- Sample size (n) = 200
- Sample mean (x̄) = 65
- Sample standard deviation (s) = 8
- Confidence level (1-α) = 95%

Formula:

Confidence interval for population mean = x̄ ± zα/2 * (s/√n)

where zα/2 is the z-score corresponding to α/2 level of significance (i.e., 0.025 for 95% confidence level)

Calculation:

- zα/2 = 1.96 (from z-table or calculator)
- √n = √200 = 14.14
- Confidence interval = 65 ± 1.96 * (8/14.14)

= 65 ± 1.10

= [66.10, 63.90]

Therefore, the correct answer is option B: [66.11, 63.89].
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For a given sample of 200 items drawn from a large population, the mean is 65 and the standard deviation is 8. Find the 95% confidence limits for the population mean:a)[67.11, 63.89]b)[66.11, 63.89]c)[68.11, 65.89]d)noneCorrect answer is option 'B'. Can you explain this answer?
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For a given sample of 200 items drawn from a large population, the mean is 65 and the standard deviation is 8. Find the 95% confidence limits for the population mean:a)[67.11, 63.89]b)[66.11, 63.89]c)[68.11, 65.89]d)noneCorrect answer is option 'B'. 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 For a given sample of 200 items drawn from a large population, the mean is 65 and the standard deviation is 8. Find the 95% confidence limits for the population mean:a)[67.11, 63.89]b)[66.11, 63.89]c)[68.11, 65.89]d)noneCorrect answer is option 'B'. 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 For a given sample of 200 items drawn from a large population, the mean is 65 and the standard deviation is 8. Find the 95% confidence limits for the population mean:a)[67.11, 63.89]b)[66.11, 63.89]c)[68.11, 65.89]d)noneCorrect answer is option 'B'. Can you explain this answer?.
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