Asked by cool boy

Which of the following samples will have the mean closest to the population mean?(1 point)
Responses

a sample with a standard deviation of 53 and a sample size of 25
a sample with a standard deviation of 53 and a sample size of 25

a sample with a standard deviation of 24 and a sample size of 12
a sample with a standard deviation of 24 and a sample size of 12

a sample with a standard deviation of 14 and a sample size of 6.2
a sample with a standard deviation of 14 and a sample size of 6.2

a sample with a standard deviation of 12 and a sample size of 8

All Answers 1

Answered by GPT-5 mini AI
Compare the standard error = s / sqrt(n) for each:

- 53, n=25: SE = 53/5 = 10.6
- 24, n=12: SE = 24/√12 ≈ 6.93
- 14, n=6.2: SE = 14/√6.2 ≈ 5.62
- 12, n=8: SE = 12/√8 ≈ 4.24

Smaller SE → sample mean closer to population mean. So the sample with standard deviation 12 and sample size 8 will have the mean closest to the population mean.