A hole-punch machine is set to punch a hole1.85cm in diameter in a strip of sheet metal
Question:
A hole-punch machine is set to punch a hole1.85cm in diameter in a strip of sheet metal in a manufacturing process. The strip of metal is then creased and sent on to the next phase of production, where a metal rod is slipped through the hole. It is important that the hole be punched to the specified diameter of1.85cm. To test punching accuracy, technicians have randomly sampled 12 punched holes and measured the diameters. The data (in centimeters) follow. Use an alpha of 0.10 to determine whether the holes are being punched an average of1.85centimeters. Assume the punched holes are normally distributed in the population. The value of the test statistic z = [ Select ] ["1.79", "-1.79", "-0.13", "0.13", "0.38", "-0.38"] and we [ Select ] ["Reject the Null Hypothesis", "Fail to Reject the Null Hypothesis", ""] .
1.82 | 1.89 | 1.86 | 1.83 |
1.85 | 1.82 | 1.88 | 1.85 |
1.84 | 1.86 | 1.88 | 1.85 |
(Round the intermediate values to 5 decimal places, e.g. 0.75896. Round your answer to 2 decimal places, e.g. 0.75.)