An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell and running them under elevated temperature conditions. Six samples were tested with the following resulting failure times (in hours): 34, 40, 46, 49, 61, 64. (a) Calculate the sample mean and sample standard deviation of the failure time. (b) Determine the range of the true mean at 95% confidence level. (c) If a seventh sample is tested, what is the prediction interval (95% confidence level) of its failure time