1. Find a similar
manufacturing process that also produces bias, within
process variation and
between process variation. Write a
brief report to describe the scenario.
2. Summarize the reasons discussed in class about:
a) Why bias exists in this line drawing activity.
b) What may be the causes that resulted in within subject
variation and between subject
variation.
3. Take a random sample of 50 cases from this activity
database and answer the following questions:
a) Obtain the numerical summary of the individual averages
and within subject standard
deviations.
b) Is the mean of these 50 individual averages different
from two inches? By how much?
c) The average of 50 within subject standard deviations is a
good estimate of the
individuals' within subject variation.
The between subject variation is measured by using
the
standard deviation of 50 individual averages. Compare these
two standard deviations.
Do you observe the between subject
variation is larger than the within subject variation?
Give
some reasons to explain the causes.
4. Draw a histogram and stem-and-leaf plot of the 50
individual averages. Can you say the
distribution of
individual averages is approximately normal
5. Assume the distribution of individual averages is
approximately normal. Its mean and
standard deviation are
estimated by the mean and standard deviation of these 50
individual
averages. Use this distribution information to
answer the following questions:
a) Find the probability of having the individual average
lower than the target two inches.
b) A students got her average length to be 2.15 inches. What
is the chance of having an
average to be higher than 2.15
inches?
c) A student got his average length to be 1.8 inches. Is
this an unusually low average based
on the information of 50
individual averages?
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