A manufacturer makes steel rods that are supposed to have a mean length of 50 centimeters A retailer suspects that the rods are running short The mean length for a random sample of 34 rods was 48 4 centimeters with a standard deviation of 3 6 centimeters Test the claim that the mean length is less than 50 centimeters at a 0 05 Can the retailer conclude that the rods are running short Explain how you made your decision including any calculations you made