task problem set 4 (due 03-01-2014)

Project Description:

task problem set 4

due date: mar 02, 2014 23:59:59 max points: 90

details:
complete problems 6.16 (parts a, b, and c) and supplement problems s6.11, s6.19, s6.23, and s6.27.
please ensure that the excel file includes the associated cell computations and graphs; this information is needed in order to receive full credit on these problems.
you are not required to submit this task to turnitin, unless otherwise directed by your instructor. if so directed, refer to the student success center for directions. only word documents can be submitted to turnitin.
6.16 boston electric generators has been getting many
complaints from its major customer, home station, about the
quality of its shipments of home generators. daniel shimshak,
the plant manager, is alarmed that a customer is providing him
with the only information the company has on shipment quality.
he decides to collect information on defective shipments
through a form he has asked his drivers to complete on arrival
at customers’ stores. the forms for the first 279 shipments have
been turned in. they show the following over the past 8 weeks:
reason for defective shipment
week no. of no. of incorrect incorrect damaged trucks
shipments shipments with bill of lading truckload product late
defects
1 23 5 2 2 1 0
2 31 8 1 4 1 2
3 28 6 2 3 1 0
4 37 11 4 4 1 2
5 35 10 3 4 2 1
6 40 14 5 6 3 0
7 41 12 3 5 3 1
8 44 15 4 7 2 2
even though daniel increased his capacity by adding more workers
to his normal contingent of 30, he knew that for many weeks
he exceeded his regular output of 30 shipments per week. a review
of his turnover over the past 8 weeks shows the following:
week no. of no. of total no. of
new hires terminations workers

1 1 0 30
2 2 1 31
3 3 2 32
4 2 0 34
5 2 2 34
6 2 4 32
7 4 1 35
8 3 2 36
a) develop a scatter diagram using total number of shipments
and number of defective shipments. does there appear to be
any relationship?

b) develop a scatter diagram using the variable “turnover” (number
of new hires plus number of terminations) and the number
of defective shipments. does the diagram depict a relationship
between the two variables?

c) develop a pareto chart for the type of defects that have
occurred.
s6.11 twelve samples, each containing five parts, were taken
from a process that produces steel rods. the length of each rod in
the samples was determined. the results were tabulated and sample
means and ranges were computed. the results were:
sample sample mean (in.) range (in.)
1 10.002 0.011
2 10.002 0.014
3 9.991 0.007
4 10.006 0.022
5 9.997 0.013
6 9.999 0.012
7 10.001 0.008
8 10.005 0.013
9 9.995 0.004
10 10.001 0.011
11 10.001 0.014
12 10.006 0.009

a) determine the upper and lower control limits and the overall
means for x-charts and r-charts.

b) draw the charts and plot the values of the sample means and
ranges.

c) do the data indicate a process that is in control?

d) why or why not?

s6.19 houston north hospital is trying to improve its image
by providing a positive experience for its patients and their relatives.
part of the “image” program involves providing tasty, inviting patient
meals that are also healthful. a questionnaire accompanies each meal
served, asking the patient, among other things, whether he or she is
satisfied or unsatisfied with the meal. a 100-patient sample of the
survey results over the past 7 days yielded the following data:
day no. of unsatisfied patients sample size
1 24 100
2 22 100
3 8 100
4 15 100
5 10 100
6 26 100
7 17 100
construct a p-chart that plots the percentage of patients unsatisfied
with their meals. set the control limits to include 99.73% of the random
variation in meal satisfaction. comment on your results.
s6.23 the school board is trying to evaluate a new math
program introduced to second-graders in five elementary schools
across the county this year. a sample of the student scores on
standardized math tests in each elementary school yielded the following
data:
school no. of test errors
a 52
b 27
c 35
d 44
e 55
construct a c-chart for test errors, and set the control limits
to contain 99.73% of the random variation in test scores.
what does the chart tell you? has the new math program been
effective?

s6.27 meena chavan corp.’s computer chip production process
yields dram chips with an average life of 1,800 hours and
s = 100 hours. the tolerance upper and lower specification limits
are 2,400 hours and 1,600 hours, respectively. is this process capable
of producing dram chips to specification?
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