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 null hypothesis? The equipment is working properly. The average average steel thickness is 3.416 mm. 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.
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 null hypothesis? The equipment is working properly. The average average steel thickness is 3.416 mm. 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.
Solution
The statement of the null hypothesis in this case would be: "The average steel thickness is 3.416 mm." This is because the null hypothesis in statistical testing usually reflects a theory that has been put forward, either because it is believed to be true or because it is to be used as a basis for argument, but has not been proved. Here, the theory is that the average thickness of the steel is 3.416 mm, which is the standard thickness for 10-gauge sheet metal.
Similar Questions
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.
manufacturer is making metal rings. They are supposed to have a diameter of 2.8 mm. One of the pieces of manufacturing equipment was suspected of malfunctioning, so the manufacturer tested a random sample of 100 pieces of these rings to make sure the average diameter is 2.8 mm. Which of the following is the null hypothesis?
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal.Which of the following is a statement of the null hypothesis? The machine is not putting enough cereal in the boxes. The average is less than 24 ounces. The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces. The machine fills the boxes with the proper amount of cereal. The average is 24 ounces.
The average breaking strength of steel rods is required to be at least 35,000 psi. Based on historical information, the standard deviation of breaking strength is 1,500 psi. A random sample of 4 specimens had the strength: piece one was 32,000, piece two was 36,000, piece three was 34,000, and piece four was 34,500. What will be null and alternate hypothesis in this case?a.H0: µ = 35,000 psi and H1: µ ≠ 35,000 psib.H0: µ ≥ 35,000 psi and H1: µ < 35,000 psic.H0: µ > 35,000 psi and H1: µ < 35,000 psid.H0: µ ≥ 35,000 psi and H1: µ = 35,000 psi
Which of the following would be an appropriate null hypothesis?
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