Question

M ANE 4352 - Manufacturing Simulation Homework No. 2 Spring 2020 Posted: Saturday, January 25, 2020 Due: Friday, February 7, 2020 Solution Posted: Monday, February 10, 2020, 11:59 pm Please work the following problems. Please show all of the steps in the determination of the solution. The point value of each problem is shown in the brackets behind the problem number 1.[25] Coefficient of restitution for a golf ball hitting the head of a golf club is an important parameter for golf club performance. (A higher value means more energy restored to the ball in flight, and therefore, a better drive with the golf club.) Restitution coefficients are measured for golf club X brand, with the following values given in Table 1. The golf club manufacturer states that the restitution meets or exceeds 0.82. Perform a test of hypothesis with a = 5%. Table 1 - Golf Club Brand X Coefficient of Restitution Experiment 0.8411 0.8582 0.8042 0.8191 0.8532 0.8730 0.8182 0.8483 0.8282 0.8125 0.8276 0.8359 0.8750 0.7983 0.8660 2. [25] A new manufacturing process is believed to have surface defects which follow a Poisson Distribution. The surface defects found in a sample of 30 sheets is contained in Table 2, below. Estimate the mean for this poisson Distribution and use a Chi Squared Goodness of Fit test to prove that Poisson is or is not a good fit. Table 2 - Poisson Distribution Data Number Found 03 6 2 3 4 6 or more 3. [25] Develop a LCG random number generator in a spreadsheet for the following constants: Z = 17, a = 31, c= 5, and m = 73. Generate 72 random numbers. Change the value of a to 23 and describe what happens. 4. [25] The data in Table 3, below is believed to come from an exponential distribution with a mean of 3. Use Kolmogrov-Smirnov procedures to prove or disprove this hypothesis at the a = 0.05% level. Table 3 - Data for Analysis with Kolmogrov-Smirnov 3 0.1 2.9 4.2 2.4 2.7 2.0 10 od 600 V 3.4 2.1 0.4 13 0.2 1.4 2.2 14 3.1 15 4.1 16 1.2 174.1 18 191.3 200.7 3.6