2.3.15 Consider a manufacturing process that is producing
hypodermic needles that will be used for blood donations.
Th ese needles need to have a diameter of 1.65 mm—too big
and they would hurt the donor (even more than usual), too
small and they would rupture the red blood cells, rendering
the donated blood useless. Thus, the manufacturing process
would have to be closely monitored to detect any significant
departures from the desired diameter. During every shift ,
quality control personnel take a sample of several needles
and measure their diameters. If they discover a problem, they
will stop the manufacturing process until it is corrected.
a. Define the parameter of interest in the context of this
study and assign an appropriate symbol to it.
b. State the appropriate null and alternative hypotheses
using the symbol defined in (a).
c. Describe what a Type I error would be in this study. Also,
describe the consequence of such an error in the context
of this study.
d. Describe what a Type II error would be in this study.
Also, describe the consequence of such an error in the
context of this study.
2.3.16 Recall that the two errors discussed in this chapter
were regarded as "false alarm" and "missed opportunity."
In some fields, these errors are also regarded as "consumer's
risk" and "producer's risk." With regard to the previous
exercise about the hypodermic needle manufacturing process,
do you think the Type I error is the consumer's risk or
the producer's risk? What about the Type II error?
We just need to outline what type error is... View the full answer