# HP 50g User Manual Page 607

Graphing calculator.

values x
and x
1
standard deviations corresponding to the samples,
n
> 30 and n
1
2
If n
< 30 or n
1
2
t
Two-sided hypothesis
If the alternative hypothesis is a two-sided hypothesis, i.e., H
value for this test is calculated as
If using z,
If using t,
with the degrees of freedom for the t-distribution given by
test criteria are
Reject H
if P-value <
o
Do not reject H
One-sided hypothesis
If the alternative hypothesis is a two-sided hypothesis, i.e., H
H
:
-
< ,, the P-value for this test is calculated as:
1
1
2
If using z,
If using t,
, and standard deviations s
2
> 30 (large samples), the test statistic to be used is
z
o
< 30 (at least one small sample), use the following test statistic:
(
x
x
1
2
2
(
n
) 1
s
1
1
P-value = 2 UTPN(0,1, |z
P-value = 2 UTPT( ,|t
if P-value > .
o
P-value = UTPN(0,1, |z
P-value = UTPT( ,|t
and s
1
(
x
x
)
1
2
2
2
1
2
n
n
1
2
)
n
1
2
(
n
) 1
s
2
2
|)
o
|)
o
|)
o
. If the populations
2
and
, are known, or if
1
2
n
(
n
n
) 2
2
1
2
n
n
1
2
:
1
1
|)
o
= n
1
:
1
-
, The P-
2
+ n
- 2. The
2
-
< , or,
1
2
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