A manufacturer must test that his bolts are5.00cmlong when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling49randomly selected bolts off the assembly line, he calculates the sample mean to be4.88cm. He knows that the population standard deviation is0.44cm. Assuming a level of significance of0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?

Step1of3:State the null and alternative hypotheses for the test. Fill in the blank below.

step 2 of 3: Compute the value of the test statistics. Round your answer to three decimal places.

step 3 of 3: draw a conclusion and interpret the decision.