1. Tutorial
3
Covers:
Estimation
Task:
1. Complete
tutorial
questions.
2. Scan
&
save
your
answer
as
“TUTORIAL3_STUDENTID_NAME.pdf”.
3. Upload
the
PDF
document
on
Edmodo.
4. Submit
the
hardcopy
to
your
lecturer.
QUESTION:
1. Suppose
x
has
a
normal
distribution
with
휎 = 6.
A
random
sample
of
size
16
has
mean
sample
50.
a) find
a
90%
confidence
interval
for
휇.
b) Explain
the
meaning
of
the
confidence
interval
you
computed.
2. Suppose
x
has
a
normal
distribution
with
휎 = 3.
Find
the
minimal
sample
size
required
so
that
for
a
95%
confidence
interval,
the
maximal
margin
of
error
is
E
=
0.4
3. Suppose
x
has
a
normal
distribution.
A
random
sample
of
size
16
has
sample
mean
10
and
sample
standard
deviation
2.
a) Find
a
90%
confidence
interval
for
휇
b) Explain
the
meaning
of
the
confidence
interval
you
computed.
4. Over
the
past
several
months,
an
adult
patient
has
been
treated
for
tetany
(several
muscle
spasms).
This
condition
is
associated
with
an
average
total
calcium
level
below
6mg/L.
Recently,
the
patient’s
total
calcium
tests
gave
the
following
readings
(in
mg/L):
9.3
8.8
10.1
8.9
9.4
9.8
10.0
9.9
11.2
12.1
a) Use
calculator
to
verify
that
푥 = 9.95
and
푠 ≈ 1.02
b) Find
99.9%
confidence
level
for
the
population
mean
of
total
calcium
in
this
patient’s
blood.
c) Based
on
your
results
in
part
(b),
does
it
see
that
this
patient
still
has
a
calcium
deficiency?
Explain.
