HP 39gs Master Guide

23
T
T
H
H
E
E
E
E
X
X
P
P
E
E
R
R
T
T
:
:
C
C
H
H
I
I
2
2
T
T
E
E
S
S
T
T
S
S
&
&
F
F
R
R
E
E
Q
Q
U
U
E
E
N
N
C
C
Y
Y
T
T
A
A
B
B
L
L
E
E
S
S
We will start with a small digression to look at a simple inferential problem which can be solved using only
the Statistics and Solve aplets.
Using the Chi
2
test on a frequency table
“Four coins are tossed 400 times and the number of heads noted for each toss.
The results are shown below. Using the Chi
2
test at a 5% level of confidence,
indicate whether the coins may be biased.”
Number of heads 0 1 2 3 4
Frequency 32 112 158 90 8
We would expect that for an un-biased set of coins the distribution would be binomial. Our hypotheses are:
H
0
: The number of heads is binomially distributed (n=4 & p=0.5)
H
A
: The number of heads is not binomially distributed (n=4 & p=0.5)
Begin by entering the data into the first two columns
of the Statistics aplet (right).
We now need to calculate the expected values based on our null
hypothesis. The expected values are based on the assumption that the
results are binomially distributed with n=4 and p=0.5.
We can do this in the
HOME view using the calculation shown right
(and below), inserting the results into column
C3 using the button.
400*COMB(4,C1)*.5^C1*.5^(4-C1) C3
We can now calculate the X
2
value as the sum of the values in column
C4 using the ∑LIST function. The calculations are shown right, placing
the individual values into column
C4 for inspection if required and then
finding the sum of the column.
The values can be seen by changing to the
NUM view.
147

HP 39gs Specifications

General

Type	Scientific
Form factor	Pocket
Product color	Gray
Internal memory	0.256 MB

Weight and Dimensions

Weight	249 g
Dimensions (WxDxH)	187 x 94 x 31 mm