The life in hours of a battery is known to be approx- imately normally distributed with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of X = 40.5 hours. a. Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.05 b. What is the P-value for the test in part (a)? c. What is the B-error for the test in part (a) if the true mean life is 42 hours? d. What sample size would be required to ensure that B does not exceed 0.10 if the true mean life is 44 hours