Question

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours. hours and a standard deviation of 5.2 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. a. What can you say about the shape of the distribution of the sample mean? Sample mean Normal b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.) Standard error c. What proportion of the samples will have a mean useful life of more than 36 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability d. What proportion of the sample will have a mean useful life greater than 34 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.) Probability < Prev 3 of 5 Next >

Answer 1

Nogy 11.7332 (a) Shape of sampling distribution if normal Sample mern Me - M2135 (b) Standard error = 5.2 =(1-7333] ( pis >36) = Prlz >0:58) = 10.2810 (d) Plā >34) = Pocz<-0:58) = 10.9610 e P (34 sa $36) = P(-0.585 250•38) = 10:4380 0.4380 z=1 din 2-33 23 5 1.7373