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A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?
  • a)
    0.58
  • b)
    0.63
  • c)
    0.67
  • d)
    0.72
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A simple random sample of size 10 is drawn without replacement from a ...
Given:
Sample size (n) = 10
Population size (N) = 85
Sample mean (x̄) = 90
Sample standard deviation (s) = 4

We need to estimate the standard error of the sample mean.

Standard error of the sample mean:
The standard error of the sample mean (SE) is the standard deviation of the sampling distribution of the mean. It measures the variability of the sample means around the population mean.

Formula:
SE = s/√n

where,
s = sample standard deviation
n = sample size

Calculation:
SE = s/√n
= 4/√10
= 4/3.16
= 1.265

Therefore, the estimate of the standard error of the sample mean is 1.265.

Answer:
The correct answer is option 'B' (0.63). However, there seems to be an error in the options provided as the calculated value is 1.265 which is not in the options.
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A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?a)0.58b)0.63c)0.67d)0.72Correct answer is option 'B'. Can you explain this answer?
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A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?a)0.58b)0.63c)0.67d)0.72Correct 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 A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?a)0.58b)0.63c)0.67d)0.72Correct 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 A simple random sample of size 10 is drawn without replacement from a universe containing 85 units. If the mean and SD, as obtained from the sample, are 90 and 4 respectively, what is the estimate of the standard error of sample mean?a)0.58b)0.63c)0.67d)0.72Correct answer is option 'B'. Can you explain this answer?.
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