The X-John Company makes batteries specifically designed for cellular telephones. Recently, the research and development (R&D) department developed a new battery it believes will be less expensive to produce. The R&D engineers are concerned, however, about the consistency in the lasting power of the battery. If there is too much variability in battery life, cellular phone users will be unwilling to buy X-John batteries even if they are less expensive. Engineers have specified the standard deviation of battery life must be less than 5 hours.

Treat the measurements in the file X-John as a random sample of 100 of the new batteries. Based on this sample, is there evidence the standard deviation of battery life is less than 5 hours? Conduct the appropriate hypothesis test using a level of significance of 0.01. Report the p-value for this test and be sure to state a conclusion in business terms.