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

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. Which of the following hypothesis tests would you conduct?a.One sample t Testb.One sample Chi-square Testc.One sample Z Testd.One sample F Test

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?

b) Distinguish between Type I and Type II error. The breaking strengths of cables produced by a manufacturer have mean 1800 lb and standard deviation 100 lb. By a new technique in the manufacturing process, it is claimed that the breaking strength can be increased. To test this claim, a sample of 50 cables is tested, and it is found that the mean breaking strength is 1850 lb. Can we support the claim at 1% level of significance?

A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kg with a standard deviation of 0.5 kg. A random sample of 50 lines were tested and found to have a mean breaking strength of 7.8 kg. With this, does the manufacturer has reasons to believe that the mean breaking strength of the new synthetic fishing line deviates from what he claims?Determine the type of test to use.z testTwo tailed testRight tailed testLeft tailed testt test

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?