We draw a random sample of size 36 from a population with the standard deviation 3.5. if the sample mean is 27, what is a 95% confidence interval for the population mean?

Respuesta :

95% refers to 2 standard errors from sample mean (SE)

[tex]SE = \frac{s}{\sqrt{n}} = \frac{3.5}{\sqrt{36}} = \frac{3.5}{6} = 0.583[/tex]

Confidence interval is:
[tex][27 -2(.583), 27+2(.583)][/tex]