In: Statistics and Probability
State the hypotheses, state the test statistic, state the P-value, make an decision, and state a conclusion.
A certain type of calculator battery has a mean lifetime of 150 hours and a standard deviation of of ? = 15 hours. A company has developed a new battery and claims it has a longer mean life. A random sample of 1000 batteries is tested, and their sample mean life is ?̅= 151.2 hours. Can you conclude that the new battery has a longer life? Use ? = 0.01.