Q.a,b,c,e
9-43. The life in hours of a battery is known to be approxi- mately normally distributed, with standard deviation 0 = 1.25 hours. A random sample of 20 batteries has a mean life of = 40.5 hours.
(a) Is there evidence to support the clain 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?
(e) Explain how you could answer the question in part (a) by calculating an appropriate confidence bound on life