A sample has mean 50, population standard deviation 10, and size 100. Using z = 1.96, what is the 95% confidence interval for the population mean?
Correct answer: C. (48.04, 51.96)
- A. (46.08, 53.92)
- B. (49.80, 50.20)
- C. (48.04, 51.96)
- D. (40.00, 60.00)
Explanation
The standard error is 10 divided by the square root of 100, which equals 1. The interval is 50 plus or minus 1.96 times 1, giving (48.04, 51.96).
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Sampling and Estimation
Sampling covers population and sample, sampling frames, simple random, systematic, stratified, cluster and convenience methods, along with sampling and non-sampling errors. Estimation includes sample statistics, population parameters, point estimates, confidence intervals and margins of error, with attention to how sample size affects precision.
Practise Sampling and Estimation
30 free Sampling and Estimation MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Quantitative Methods questions like this
Quantitative Methods is on this paper prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for it.
More Sampling and Estimation questions
If the population standard deviation is 12 and the sample size is 36, what is the standard error of the sample mean?
Which statistic is an unbiased estimator of the population mean?
A population contains 2,000 units, and a sample of 100 units is required. In systematic sampling, the sampling interval is:
If the sample size is increased from 100 to 400 while other conditions remain unchanged, the standard error of the sample mean becomes:
Which situation is an example of non-sampling error?
When a population is small and the sampling fraction is substantial, which adjustment is commonly applied to the standard error?