In: Statistics and Probability
The quality control manager of a major cell phone provider is concerned about the life of the cell phone batteries they use. He took a sample of 13 batteries from a recent shipment and used them continuously until they failed to work. The manager measured the number of hours the batteries lasted and found the mean to be 550.4 with a standard deviation of 315.3. What is the critical value for α = .10 to test the claim that the mean life of the batteries is more than 400 hours.