(a) m = 16, s = 0.03, n = 50, x-bar = 16.05
H0: The cans are not overfilled, that is m <= 16
Ha: The cans are over-filled, that is m > 16
Upper-tailed z- test for a population mean; a = 0.05
Critical z- score = 1.645
Decision rule: Reject H0 if the test z- score > 1.645
z = (x-bar - m)/(s/sqrt n) = (16.05 - 16)/(0.03/sqrt 50) = 11.79
Since 11.79 > 1.645, we reject H0 and accept Ha
Conclusion: It appears that the cans are being overfilled.
(b) Upper-tailed p- value for z = 11.79 is 0
The probability (risk) of rejecting H0 if it were true is 0.
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