Auto Corporation produces auto batteries. The company claims that its NEVER DIE batteries are good for at least 65 months. A company protection agency tested 15 of these batteries to check this claim....

Extracted text: Auto Corporation produces auto batteries. The company claims that its NEVER DIE batteries are good for at least 65 months. A company protection agency tested 15 of these batteries to check this claim. It found the mean life of these batteries to be 63 months with standard deviation of 2 months. At the 5% significance level, can you conclude that the claim of the company is true? Assume that the life of such a battery has a normal distribution.