Lean Six Sigma Green Belt Minitab Home Work

Introduction to Statistics

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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:

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.

56.39

57.62

56.53

56.78

57.23

56.82

57.21

56.80

56.17

57.66

56.41

56.41

56.25

56.51

56.31

56.34

56.18

56.94

57.02

56.81

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