The life in hours of a battery pack inside an artificial heart has a standard deviation, =1.25

hours. A random sample of 10 batteries has a mean life of x = 40.5 hours. Assume that battery life is normally distributed.

(a)Is there evidence to support the claim that battery life exceeds 40 hours? Use ₌ 0.05

(b)What is the P-value for the test in part (a)?

(c)What is the - 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 does not exceed 0.10 if the true mean

life is 44 hours?