Order Green Belt Minitab Home Work

Order Green Belt Minitab Home Work
1. A basketball player makes a foul shot 80% of the time.
a. What is the probability that he will make 12 in a row? (2.5pts)
b. What is the probability he will miss 4 in a row? (2.5pts)
2. A high jumper, John “Hoppin” Hermann, completes the jumps on the excel worksheet “High Jumps” for his track season. Using your statistical analysis package in Minitab, complete a normal probability and box plot of the data and perform Stat=>Basic Statistics=>Graphical Summay. Paste the results below. Discuss the results in detail. Are the data normal? Discuss the chances of Hoppin Hermann breaking Javier Sotomayor’s world record of 8.0383 feet.(15pts) Hint: Only one jump is needed to break the world record.
II: DMAIC:
Order Green Belt Minitab Home Work
While visiting the MIT Mousetrap Company as a consultant you are approached by the Quality Control Supervisor, Wes Jones. Mr. Jones has noticed that some (3 per 100) of the new humane catch-n-release traps are below specification (door shuts before mouse has entered ) and has approached you to assist in fixing this expensive problem (MIT sells millions of these C-n-Rs each year). a) DMAIC — define each letter of the acronym (D,M,A,I, and C) and write 1-2 sentences related to the above scenario, i.e. talk about the steps you would recommend taking for each part of the process and discuss what resources you might use to complete that task. (15)
b) Discuss more extensively how you might determine possible solutions to the problem in the “I” portion of this problem solving framework and what tools, techniques, and resources you might use (and how). (10)
III: Statistics: 1. Your company makes an uber-bouncy-tennis ball for professional players that bounces an average of 57 inches when dropped from 100 inches (within international tennis regulations) over 900 drops when new. You’ve been tipped off that your material supplier may have changed the quality of their yellow fuzz product without any warning and you wonder how much of an effect, if any, this will have on the quality and bounciness of your tennis balls. You take a random sampling of n=20 samples. The data you collect (inches of bounce height) are below.
Order Green Belt Minitab Home Work
Is this new yellow fuzz different from your previous product? Prove by testing the hypothesis for α = 0.05. Use the T-test statistic. (10)
B.
Double check your answer by finding the confidence bounds on the mean bounce height. Do your results agree? Comments?(10)
C. Assuming that this was a screening experiment, what do you do next and/or what do you tell your boss about both your existing data and your ideas for the future? (5)
2. Vermont invests about $4.5 million/year in anti-smoking efforts. Out of 100,000 VT high school students 17,600 smoke. In New Hampshire no money is spent on anti-smoking campaigns and 20,800 out of 100,000 HS students smoke. Using the Poisson distribution, can Vermont argue that their program has some positive effect? (15)
2. An election poll concluded that two candidates were tied at 50% of polled voters each. The number of people polled was 500. What is the statistical error at a 95% confidence level? Comment on the results. Hint: Use the continuous approximation to the binomial distribution. This type of result will be similar to when polls are reported on the news and the newscaster will say that the error is plus and minus 3%. (15)
IV: SPC
1. A. Discuss the differences between special cause and common cause failures or variation, giving at least one example of each. How might you see the difference in your measurements? (5) B. Discussion the difference between attribute and variables data. How do they work together in an effective SPC Program? (5) C. What is a Pareto Chart? How is it used in a continuous improvement program? (5)
2. The USGA announced that they are going to be very “tough” in enforcing the rule that the maximum coefficient of restitution (COR) for golf club drivers be 0.83. (some drivers were measured by them as 0.85, this COR gives a drive 5 yards or so advantage over one that is “in spec.” Assume that the lower spec limit is 0.70) The USGA will allow the upper spec limit on any manufacturer’s driver to be 0.83 as long as the Cpk is at least 2.0. Ping has developed a very repeatable process for making the driver heads that they believe can achieve a Cpk of 2 with the average COR being 0.828.
a) If this is true what must  be? (5)
b) Ping is encouraged as they believe their competitors is at least 0.004. If this is true, what COR average must the competitor aim for to have a Cpk = 2. (5)
c) For every 0.01 loss in COR the driver loses 2.5 yards. How much less yardage will the competitions driver hit a ball on average as compared to Pings? (5)
d) Ping manufactures 10,000 drivers. The data are in the spreadsheet in tab “Golf Club COR” . Analyze the data. Assume with subgroup size = 1. Did they achieve their goal? Comment on the data Re: normality, etc. Are there S

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