HP 12c Platinum Reference Manual page 110

110 Statistics
Example 1: A suspect die from a Las Vegas casino is brought to an independent testing
firm to determine its bias, if any. The die is tossed 120 times and the following results
obtained.
Number
Observed Frequency
The expected frequency = 120 throws / 6 sides, or E = 20 for each number, 1 thru 6.
(Since E is a constant in this example, there is no need to store it in R
12c platinum / 12C
RPN Keystrokes
fCLEARH
25\
20?0-\
§:0z+
17\20-
\§:0z+ z:0+~³ 1.70
15\20-
\§:0z+ z:0+~³ 2.95
23\20-
\§:0z+ z:0+~³ 3.40
24\20-
\§:0z+ z:0+~³ 4.20
16\20-
\§:0z+ z:0+~³ 5.00
The number of degrees of freedom is (n-1). Since n = 6, the degrees of freedom = 5.
Consulting statistical tables, you look up
freedom, and see that
to a 0.05 significance level (probability = .95), the die is fair.
Try the following HP 12C Platinum program with the same example.
12c platinum
ALG Keystrokes
fCLEARH
25-
20?0³g'
z:0+~³ 1.25
17-20³g'
15-20³g'
23-20³g'
24-20³g'
16-20³g'
2
χ
= 11.07. Since
0.05,5
1 2 3 4
25 17 15 23
Display
χ
2
χ
to a 0.05 significance level with 5 degrees of
2
χ
= 5 is within 11.07, we may conclude that
5 6
24 16
each time.)
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