This assignment consists of 4 questions.
1. Pareto Chart - A large number of successful entrepreneurs across Canada and the United States with companies that experienced 150% growth on average for each of the first five years of operation were polled. The entrepreneurs were asked which one single attribute they felt had the greatest impact on their success. The chart below is a record of their responses.
|
Success Factor
|
Number of Occurrences
|
|
Experience
|
18
|
|
Education
|
22
|
|
IQ Score
|
25
|
|
EQ Score
|
38
|
|
Presentation Skills
|
41
|
|
Creativity
|
45
|
|
Leadership
|
50
|
a) Prepare a Pareto analysis of the data collected from the entrepreneurs?
b) What does this analysis reveal about the responses from the entrepreneurs?
2. Control Limits - HVN Nursery sells "U-Fill" topsoil where patrons fill their own bags of soil and pay by the bag. The nursery wishes to find out the upper and lower control limits for the averages of this self-serve process. The nursery had their summer college students take numerous samples, with each sample containing 9 bags, and weigh them. The average weight was 22 kg. The average range was .37kg. What are the upper and lower control limits for the x bar chart and R chart?
3. Process Control - A new coin machine printing nickels is being tested by the Mint. Ten samples, with each using 10 nickles, are weighed. Each nickle should weigh 5 g and each sample should weigh 50g. The data collected is shown in the chart below:
|
Sample
|
Sample Mean (g)
|
Range (g)
|
|
1
|
49.998
|
0.017
|
|
2
|
50.001
|
0.011
|
|
3
|
50.025
|
0.025
|
|
4
|
50.121
|
0.005
|
|
5
|
50.012
|
0.001
|
|
6
|
49.953
|
0.004
|
|
7
|
49.999
|
0.007
|
|
8
|
50.002
|
0.022
|
|
9
|
50.007
|
0.001
|
|
10
|
49.099
|
0.014
|
a) Determine the upper and lower control limits and the overall mean for the x bar chart and the R chart.
b) Draw the charts and plot the values of the sample means and range.
c) Does the data indicate that the mint should invest in this new machine? Explain.
4. Specification Limits - Ecril Technologies makes car parts using vacuum formed molds. The President wants the process of creating molds to be reviewed to determine if the life span of the molds, or the rate they have to replace molds, is acceptable. Each mold produces on average 1,459 acceptable parts with a standard deviation of 81. The lower and upper control limits are 1,297 and 1,945 parts respectively. Calculate the Cp and Cpk to determine if the mold making process is capable of producing sufficient parts to specification? Explain your response.