T -Test Value - Casio FX-7400G PLUS User Manual

Program for
Description
The mean (sample mean) and sample standard deviation can be used to obtain a
(x – m)
t =
x
Example
To determine whether the population standard deviation for sample data 55, 54, 51,
55, 53, 53, 54, 52, is 53.
Perform a
Preparation and operation
• Store the program written on the next page.
• Execute the program as shown below.
Step Key operation
The above operation produces a
table in the next page, a level of significance of 5% and a degree of freedom of 7 (
produce a two-sided
than the table value, the hypothesis that population mean
180
PROGRAM SHEET
t
-Test Value
x
: mean of
σ
x
: sample standard deviation of
n–
1 n
–1
n
: number of data items
n
m
: hypothetical population standard deviation (normally repre-
sented by µ , but
limitations)
t
-test with a level of significance of 5%.
Display
t
-test value of
t
-test value of approximately 2.365. Since the calculated
x
data
m
is used here because of variable name
Step Key operation
t
(53) = 0.7533708035. According to the
m
equals 53 is accepted.
No.
3
t
-test value.
x
data
Display
t
-distribution
n
– 1 = 8 – 1 = 7)
t
-test value is lower