Answer
$\mu$ = 36.02
σ = 0.1
$Z_{0.99}$ = 2.33
s= 0.1/ $\sqrt{20}$ = 0.02236
confidence interval
= 36.02 ± 0.02236*2.33
= 36.02 ± 0.052
=[35.97,36.07]
There might need an adjustment on the machine since its confidence interval is exceeds the upper limit of acceptance.
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