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?

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?

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 alternative hypothesis?

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

A consumer products company is formulating a new shampoo and interested in studying the mean foam height (in mm). Assume the foam height approximately follows a normal distribution with known variance of  σ2 = 400 mm2. A random sample of 9 such new shampoos results in a mean foam height 165 mm. Test if there is sufficient evidence to support the claim that the mean foam height of the new shampoo is different from 160.5 mm at α = 0.05. Which of the following statements is INCORRECT?