Probability and Statistic on Z-Test

Table of Contents
Z-TEST4
Z-TABLE5
Z-TEST ONE world MEAN6
Z-TEST ONE existence PROPORTION9
Z-TEST TWO commonwealth MEAN13
Z-TEST TWO POPULATION PROPORTION16

Z-TEST

The simplest and most common quiz on the signifi domiciliatece of adjudicate data is the z-test. The application on z-test requires the normality of distribution. Also, the pattern size should be greater than or equal to 30. This test is one of the parametric tests since it utilizes the two world parameters µ and ?. If the people beat refraction is not known, accordingly the prove standard remainder can be used.
The Z-test can be applied in two ways:
1. One-Sample Mean Test
2. Two-Sample Mean Test

Z-TABLE

Z-TEST ONE POPULATION MEAN

One of the applications of Z-test is a test of hypothesis about the population mean. From the sample data, we try to compare the sample mean to the perceive population mean. This test, known as one-sample mean test, requires the knowledge of the population mean and population standard deviation. However, if the population standard deviation is not known, then the sample standard deviation can be used as a substitute.



The computing decree for one-sample mean test is given by
Zcomputed = x- µ?n?
Where:
x? - sample mean
µ - hypothesized value of the population mean
? population standard deviation
n sample size
The tabular value for Z-test at specified level of meaning is given below
The tabular Value of Z at .01 and .05 aim of Significance
Test| ?| .01| .05|
One-tailed| ±2.33| ±1.645|
Two-tailed| ±2.575| ±1.96|

If ?Zcomputed? is greater than ?Ztabular? then the null hypothesis is rejected and the alternative hypothesis is accepted. Similarly, if ? Zcomputed? is less than ?Ztabular?, then the null hypothesis is accepted and the alternative hypothesis is rejected.
Example:suppose a sample size of 100 units has a mean x = 2.7 and a standard deviation ? = 1.5. Assuming normality of data, then test...If you want to get a full essay, order it on our website: Ordercustompaper.com



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