3) A manufacturer of batteries took a sample of 13 batteries from a day's production and used them continuously until they failed to work. The life of the batteries in hours until failure is: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, 298. At the alpha = 0.05 level of significance, is there evidence that the mean life is more than 400 hours? a) State the null and alternate hypothesis. b.) calculate the test statistic c) Report p-value and use it to support your conclusion