Question

If a researcher wants to compute a 94% confidence interval from a population with a known standard deviation of 8 units and have a margin of error of no more than 2 units, what is the smallest sample size that can be used?

Answer 1

The following information has been provided:

α=0.06,E=2,σ=8

The critical value for the significance level α=0.06 is zc​=1.88. The following formula is used to compute the minimum sample size required to estimate the population mean μ within the required margin of error:

Therefore, the sample size needed to satisfy the condition , and it must be an integer number, we conclude that the minimum required sample size is

​​​​​​

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!