satisfactory outcome for the customer when the center is in control?
Round your answers to three decimal places.
0.041
b.
Construct the upper and lower limits for a
p
chart for the
manufacturing process, assuming each sample has 100 calls. Round
your answers to four decimal places.
UCL
0.1004
LCL
0
d.
Compute the upper and lower limits for the
np
chart. Round your
answers to three decimal places.
UCL
10.049
LCL
0

7.
Consider an acceptance sampling plan with
n =
20 and
c
=
0. Compute the producer's risk for each of the following
cases.
a.
The lot has a defect rate of 2% (to 4 decimals).
P(accept lot):
0.6676
Producer's risk:
0.3324
b.
The lot has a defect rate of 6% (to 4 decimals).
P(accept lot):
0.2901
Producer's risk:
0.7099
8.

Product filling weights are normally distributed with a mean of 350
grams and a standard deviation of 15 grams.
a. Develop the control limits for the
chart for samples of size 10, 20,
and 30 (to 2 decimals).
For n = 10
UCL =
364.23
LCL =
335.77
For n = 20,
UCL =
360.06
LCL =
339.94
For n = 30,
UCL =
358.22
LCL =
341.78
b. What happens to the control limits as the sample size is increased?
Both control limits move
closer to
7 the process mean as the sample
size is increased.
c. What happens when a Type I error is made?
True
The process will be declared out of control and adjusted when the
process is in control.
d. What happens when a Type II error is made?
False
The process will be declared out of control and adjusted when the
process is in control.
e. What is the probability of a Type I error for samples of size 10, 20,
and 30 (to 4 decimals)?
P(type I) =
0.0027

f. What is the advantage of increasing the sample size for control chart
purposes? What error probability is reduced as the sample size is
increased?

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- Fall '14
- Statistics, SOLUTIONS, Standard Deviation, Chapter 19, Answers , Process Control, Control Chart, Decimal, UCL, Cengage Statistics