Chapter 7: Statistics Application 147
0703 To specify > 120, σ = 19 for the data in lists to the right (list1 = data, list2 =
frequency) and perform a 1-Sample Z Test
2-Sample
Z Test .... [Test] - [Two-Sample Z-Test] .....
Tests the difference between two means when the standard deviations of the two populations are known. The
normal distribution is used for the 2-Sample Z test.
1-Proportion
Z Test .... [Test] - [One-Prop Z-Test] .....
= (x/n – p
0
)/ p
0
(1 – p
0
)/n
Tests a single sample proportion against the known proportion of the null hypothesis. The normal distribution is
used for the 1-Proportion Z test.
2-Proportion
Z Test .... [Test] - [Two-Prop Z-Test] .....
= (x
1
/n
1
– x
2
/n
2
)/ pˆ
(1 – pˆ
)(1/n
1
+ 1/n
2
)
Tests the difference between two sample proportions. The normal distribution is used for the 2-Proportion Z
test.
1-Sample
t Test .... [Test] - [One-Sample t-Test] .....
t = (o – μ
0
)/(s
x
/'n )
Tests a single sample mean against the known mean of the null hypothesis when the population standard
deviation is unknown. The
t distribution is used for the 1-Sample t test.
2-Sample
t Test .... [Test] - [Two-Sample t-Test]
Tests the difference between two means when the standard deviations of the two populations are unknown.
The
t distribution is used for the 2-Sample t test.
When the two population standard deviations are
equal (pooled)
= (o
1
− o
2
)/ s
2
(1/
1
+ 1/
2
)
=
1
+
2
− 2
s
= ((
1
− 1)s
1
2
+ (
2
− 1)s
2
2
)/(
1
+
2
− 2)
When the two population standard deviations are not
equal (not pooled)
= (o
1
− o
2
)/ s
1
2
/
1
+ s
2
2
/
2
= 1/(
2
/(
1
− 1) + (1 − )
2
/(
2
− 1))
= (s
1
2
/
1
)/(s
1
2
/
1
+ s
2
2
/
2
)
Linear Regression t Test .... [Test] - [Linear Reg t-Test] .....
= ( − 2)/(1 −
2
)
= (
− o)(
− p)/ (
− o)
2
= p −
Y
Y
n: sample size (nt3)
Tests the linear relationship between the paired variables (
x, y). The method of least squares is used to
determine a and b, which are the coefficients of the regression formula y = a + bx. The p-value is the probability
of the sample regression slope (b) provided that the null hypothesis is true, = 0. The t distribution is used for
the linear regression t test.
To Next Page
Loading...
Need help?
General
