Casio FXCP400 Test, Test, Test, Test, Test, Test, Tests, 1-Sample, 2-Sample, 1-Sample, 2-Sample, 1-Proportion, 2-Proportion

Tests

The Z Test provides a variety of different tests based on standard deviation based tests. They make it possible to test whether or not a sample accurately represents the population when the standard deviation of a population (such as the entire population of a country) is known from previous tests. The t Test is used instead of the Z Test when the population standard deviation is unknown. You can also perform χ2 Test, ANOVA (analysis of variance), and other test calculations.

The following describes the ClassPad commands for executing each type of statistical test calculation. It includes the calculation formula used and a general overview of each command.

1-SampleZ Test .... [Test] - [One-Sample Z-Test] ..... z = (o – μ0)/(σ/'n )

Tests a single sample mean against the known mean of the null hypothesis when the population standard deviation is known. The normal distribution is used for the 1-Sample Z test.

0702 To specify  ≠ 0, σ = 3 for n (sample size) = 48, o (sample mean) = 24.5 data and perform a 1-Sample

ZTest

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-SampleZ 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-ProportionZ Test .... [Test] - [One-Prop Z-Test] ..... z = (x/n – p0)/ p0(1 – p0)/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-ProportionZ Test .... [Test] - [Two-Prop Z-Test] ..... z = (x1/n1 – x2/n2)/ pˆ (1 – pˆ )(1/n1 + 1/n2)

Tests the difference between two sample proportions. The normal distribution is used for the 2-Proportion Z test.

1-Samplet Test .... [Test] - [One-Sample t-Test] ..... t = (o – μ0)/(sx/'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-Samplet 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	 = (o1 − o2)/		2(1/ 1 + 1/ 2)
equal (pooled)	 =	1 + 2	− 2
	s =	(( 1 − 1)s12 + ( 2 − 1)s22)/( 1 + 2 − 2)
￿ When the two population standard deviations are not	 = (o1 − o2)/		s12/ 1 + s22/ 2
equal (not pooled)	 =	1/(2/(	1 − 1) + (1 − )2/( 2 − 1))
	=	(s12/	1)/(s12/ 1 + s22/ 2)

Chapter 7: Statistics Application 141