Question

The sample mean is 50, the t-statistic is 1.96, and the standard error of the sample mean is 2. What is the 95 percent confidence interval?

Answer 1

Confidence interval would be Y+-t(alpha,n-1)*S:
the lower limit is 50-1.96*2 = 46.08,
the upper limit is 50+1.96*2 = 53.92.