A manufacturing plant found that in 64 cases, a UV excitation lamp for a polymer curing process lasted 18,300 hours with a standard deviation of 2,800 hours. . Is the mean number of hours of lifetime for these lamps greater than 17,500 for 0= 0.01? . Is the mean number of hours of lifetime for these lamps greater than 17,500 for O= 0.05? . Calculate the P-value A research engineer is evaluating the amount of hazardous cadmium metal recovered from an electronics recycling process before the waste is sent to landfill. She runs the process 9 times and finds an average yield of 1.33 pounds of material and a standard deviation of 0.6744. Is the mean yield of this reaction less than 1.8 for o=0.05? You may assume a normal population. A manufacturing process for making a spunbond nonwoven produces a web with a mean thickness of 4 mils and standard deviation of 0.05 mils. If the web thickness has to be within 0.01 mils to meet customer specifications and the probability of a Type I error is set to be 0.05, what is the probability of a Type II error based off a sample of n = 50 thickness measurements in the web? To test the claim that an additive can decrease the cure time of an epoxy by more than 30 seconds (0.5 minutes), 40 samples of the original epoxy were measured and r for drying time was found to be 1.36 minutes with $1=0.04 min and 40 samples for the modified epoxy (with the additive) wear measured and found to have 30.83 minutes with $2=0.05 minutes. Is the claim supported at the 0.05 level of significance? Construct a 95% confidence interval for the previous problem for the difference in mean curing time of the epoxy