# Answer to Question #663 in Statistics and Probability for Margie

Question #663

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?

Expert's answer

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.

the lower limit is 50-1.96*2 = 46.08,

the upper limit is 50+1.96*2 = 53.92.

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