Use a 0.05 significance level and conduct a full hypothesis test. List the null and alternative hypotheses, the z-score, the P-value, and whether to reject or not reject the null hypothesis. Round z-scores to the nearest tenth.
A manufacturer makes steel rods that are supposed to have a mean length of 50 centimeters. A retailer suspects that the bars are running short. The mean length for a random sample of 34 bars was

with a standard deviation of 3.6 centimeters. Test the claim that the mean length is less than 50 centimeters.