Which of the following will result in a wider confidence interval? Check all that apply.
Larger sample size
Higher level of confidence
Larger population standard deviation
Larger population mean
Larger sample mean
So after running some numbers, I believe 2,3, and 4 are correct because they appeared to work however apparently that's incorrect. Could anyone please help me? Thank you!
$$ \Pr\biggl\{\overline X - \Phi^{-1}(1-\alpha/2) \frac{\sigma}{\sqrt{n}} \le \mu \le \overline X + \Phi^{-1}(1-\alpha/2) \frac{\sigma}{\sqrt{n}}\biggr\}=1-\alpha. $$