Question

Can anyone verify this?

Answer 1

We are 95% sure that the true population falls between 2.26 and 4.34

Answer 2

@ganeshie8

Answer 3

\[2.26<\mu<4.34\]
On average, 95 out of every 100 such intervals will contain the population mean.

Answer 4

Was my answer correct then?

Answer 5

@kropot72

Answer 6

Not really. Your statement "we are 95% sure" indicates the probability of the population mean being within the confidence interval. It is not correct to use probability in this context.

Answer 7

That's how my teacher told us to write confidence interval statements

Answer 8

As I said, "95% sure" indicates probability. I prefer the more precise interpretation:
On average, 95 out of every 100 such intervals will contain the population mean.

Answer 9

If your teacher is happy with the use of "95% sure", go ahead and use it. I can't say it is incorrect.