Given random sample find probability that sample mean?

A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean of 38 minutes and standard deviation of 5 minutes. A....

1. A random sample of size 49 is taken from a large population, measuring the time it takes to complete a drivers license examination. The sample mean was found to be 47 minutes, and the sample standard deviation 5.89 minutes. Construct a 95% confidence interval around the sample mean. Be sure to...