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HP HP-11C User Manual

HP HP-11C
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Section
10:
Applications
Programs
177
The
test
statistic
D
t=
vn
$p
which
has
n
—
1
degrees
of
freedom
(df)
can
be
used
to test
the
null
hypothesis,
Hy:
u;
=
po.
t
Statistic
for
Two
Means
Suppose
{x{,
xo,
...,
Xp,}
and
{yy,
y9,
...,
Yn,}
are
independent
random
samples
from
two
normal
populations
having
means
u;
and
us
(unknown)
and
the
same
unknown
variance
o2
We
want
to
test
the
null
hypothesis
Hy:
u;
—
ug
=d.
Equations:
ny
_
1
E
X
=
X;
ny
=
ng
_ 1
y=
Yi
ny
4
X
—y—d
t=
Y
/
1
4
1
Jixl‘2_n1i2+xyi2—n25’2
V
n;
no
n,
+
ny
—
2
We
can
use
this
t
statistic
(which
has
the
t
distribution
with
n;
+
n,
—
2
degrees
of
freedom
(df))
to test
the
null
hypothesis H,.
References:
1.
Statistics
in
Research,
B. Ostle,
lowa
State
University
Press,
1963.
2.
Statistical
Theory
and
Methodology
in
Science
and
Engi-
neering,
K.A.
Brownlee,
John
Wiley
and
Sons,
1965.

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HP HP-11C Specifications

General IconGeneral
BrandHP
ModelHP-11C
CategoryCalculator
LanguageEnglish

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