Hey everyone! I'm having difficulty figuring out this question. It seems simple and straightforward enough, but I need some guidance as to what I need to do.
I know the x̄=51.25 and s = 4.367 and n = 8 but I don't understand how to find the confidence interval from this point on..Consider the sample 49 53 49 47 52 61 50 49 from a normal population with population mean μ and population variance σ2. Find the 95% confidence interval for μ
The formula I'm given is:
x̄ ± za/2 * (s/√n)
I know x̄ and s are, and I know a/2 = 0.05/2, the z-score that lines up with (0.5-[0.05/2]) is 1.96, but I don't know n, so how would I solve this?
any help appreciated!
EDIT: I also know that x̄ is representative of μ.
The answer key says the answer is 51.25 ± 3.65, but I don't understand where 3.65 came from.