A manufacturer must test that his bolts are 1.00cm1.00⁢cm long when they come off the assembly line. He must recalibrate

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A manufacturer must test that his bolts
are 1.00cm1.00⁢cm long when they come off the assembly
line. He must recalibrate his machines if the bolts are too long or
too short. After sampling 8181 randomly selected bolts
off the assembly line, he calculates the sample mean to
be 0.97cm0.97⁢cm. He knows that the population standard
deviation is 0.13cm0.13⁢cm. Assuming a level of significance
of 0.020.02, is there sufficient evidence to show that the
manufacturer needs to recalibrate the machines?
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
two decimal places.