A process that manufactures steel bolts is supposed to be
calibrated to produce bolts with a mean
length of 5 cm. A sample of 100 bolts has a mean length of 5.02 cm
with a standard deviation of 0.06
cm. Let μ be the mean length of bolts manufactured by this
process.
a. Find the P-value for testing 0 1 H : μ = 5 versus H : μ ≠ 5
.
b. Do you believe it is plausible that the process is properly
calibrated, or are you convinced that
it is out of calibration? Explain.
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