General Studies · Sampling Distributions
For a dataset with n = 49 observations selected without replacement from a population of N = 200, the sampling distribution of the mean shows a variance of 5. Which of the following statements are correct? (A) The finite population correction factor (FPC) = (N − n)/(N − 1) applies here. (B) The population variance can be estimated using the correction factor. (C) FPC reduces the standard error compared to sampling with replacement. (D) If N were infinite, the variance of the sample mean would simply be σ2/n. Choose the correct answer:
- 1A, B and D only
- 2B and D only
- 3A and C only
- 4A, B, C and D✓
Correct answer
A, B, C and D
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