A company that manufactures bicycles receives steel rods in large shipments from a supplier. From experience, the manager knows that = 1.24 inches and that the lengths are approximately normally distributed. He takes a random sample of 14 rods. The lengths of the sampled rods are as follows: 10.79 12.19. 11.94. 12.05 11.07 11.97 10.11 10.18 11.05 10.12. 12.14 11.75 The company needs rods with a length of 11 inches to assemble the bikes properly. Because too-large and too-small rods are unsuitable, shipments not meeting the requirements are sent back to the supplier. Help this manager determine whether the shipment should be accepted or rejected. To perform hypothesis testing, do the following: a) Verify the conditions for SDSM b) State Ho and Ha, and also compute a sample statistic. c) Compute the p-value d) State your conclusion in the context of the problem. e) estimate the population mean by using the 90% confidence interval