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

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A manufacturer must test that his bolts are 1.00 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
49 randomly selected bolts off the assembly line, he
calculates the sample mean to be 0.95cm . He knows that the
population standard deviation is 0.18 cm . Assuming a level
of significance of 0.02 , is there sufficient evidence to show
that the manufacturer needs to recalibrate the machines?
Step 1 of 3: State the null and alternative hypotheses for the
test. Fill in the blank below.
H0: μ=1.00
Ha: μ⎯1.00
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
two decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.