1. A supplier of Gogoro battery claims that the batteries will last, on average, 3 years with a standard deviation of 1 year. It is known that the battery lifetime follows a normal distribution. If 30 batteries are randomly selected and, on average, they last for 3.1 years with a variance of 1.9 years. Should people in Gogoro be convinced that the battery lifetime has a standard deviation of 1 year? Please draw your conclusion from evidence given by data. [10%]