Use the sample information X bar = 37, sigma = 5, n = 15 to calculate the following confidence intervals for mean assuming the sample is from a normal population.

(a) 90 percent confidence. (Round your answers to 4 decimal places.)

The 90% confidence interval is from- To-

(b) 95 percent confidence. (Round your answers to 4 decimal places.)

The 95% confidence interval is from- To-

(c) 99 percent confidence. (Round your answers to 4 decimal places.)

The 99% confidence interval is from- To-