An electrical company tested a new type of oil to be used in its transformers. Thirty-five readings of dielectric strength were obtained. Dielectric strength is the potential (in kilovolts per centimeter of thickness) necessary to cause a disruptive discharge of electricity through an insulator. The results of the test gave X (bar) = 77 kV, s = 8 kV.
Find a 95% confidence interval for the mean dielectric strength of the oil.