Question

True or false?

The Student’s t-distribution may be used to construct a confidence interval for the mean of any population, as long as the sample size is small

Answer 1

false

Answer 2

for a large population one could use the normal distribution.

the t-dist is used when sampling from a normal distribution when sigma is not known. Under this situation the sample size can be small.

Answer 3

I think it is false. But because the t-distribution can only be used for small sample sizes when it is approximately normal

Answer 4

the t-dist can be use with large samples. The t-dist converges in distribution to a standard normal when the sample size goes to infinity

Answer 5

Are you sure? I can't find it in my book...

Answer 6

yes. Everything I said above is correct.

That said, the answer is still false (as I first pointed out) because of the statement 'of any population'