A sheet metal manufacturer is making 10-gauge sheet metal, which is supposed to be 3.416 mm thick. One of the pieces of manufacturing equipment was suspected of malfunctioning, so the manufacturer tested a random sample of 100 pieces of steel to make sure the average steel thickness is 3.416 mm.Which of the following is a statement of the alternative hypothesis? The equipment is not working properly. The average average steel thickness is not 3.416 mm. The equipment is making the sheet metal too thick. The average average steel thickness is greater than 3.416 mm. The equipment is working properly. The average average steel thickness is 3.416 mm.
Question
A sheet metal manufacturer is making 10-gauge sheet metal, which is supposed to be 3.416 mm thick. One of the pieces of manufacturing equipment was suspected of malfunctioning, so the manufacturer tested a random sample of 100 pieces of steel to make sure the average steel thickness is 3.416 mm.Which of the following is a statement of the alternative hypothesis? The equipment is not working properly. The average average steel thickness is not 3.416 mm. The equipment is making the sheet metal too thick. The average average steel thickness is greater than 3.416 mm. The equipment is working properly. The average average steel thickness is 3.416 mm.
Solution
The alternative hypothesis in this case would be: "The average steel thickness is not 3.416 mm." This statement is suggesting that there is a significant difference between the expected thickness of the sheet metal (3.416 mm) and the actual thickness. This could be due to the equipment malfunctioning, but the hypothesis itself is focused on the outcome (the thickness of the metal), not the potential cause (the equipment).
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