Q2.
30
samples
of
defective
coils
are
inspected,
with
each
sample
containing
20
rolls
of
coiled
wire,
and
the
number
of
defective
coils
in
each
of
the
30
samples
are
to
be
recorded
in
a
table.
Go
to
ChatGPT,
then
enter
“Next,
generate
a
dataset
of
the
number
of
defective
coils
observed
in
30
samples
of
coiled
wire,
with
each
sample
containing
20
rolls
of
coiled
wire”.
Copy
the
generated
data
values
to
Microsoft
Excel,
with
the
headings
being
“Sample”
and
“Number
of
Defectives”.
Then
using
the
data
values,
answer
the
following
questions.
(a)
Construct
and
plot
a
control
chart
that
will
describe
99.74
percent
of
the
chance
variation
in
the
process
when
the
process
is
in
control.
(2]
(b)
Determine
whether
the
process
is
in
control.
(1]
(c)
Using
z
=1
2,
analyze
the
data
of
the
“number
of
defectives”
using
a
median
run
test
and
an
up/down
run
test
to
determine
if
the
data
is
truly
random.
(2]
