1.) You buy five random samples of cable from a manufacturer, Cheatum Cables, and find that the sample mean is 36.6 ksi with a sample standard deviation of 0.3 ksi. At the 95% confidence level, you want to know if the mean strength of Cheatum Cables is greater than 36.6 ksi.

t(calc)= (36.6-36)/(.3/sqrt(5))= 4.47

t(crit)= 2.776


2.) Do you accept or reject the null hypothesis?

Reject


3.) As a result, what can you say?

There is evidence against the claim that the mean strength is greater than 36.0 ksi