Question

Complete the following table, one is done for you:

S. No.

Test For

Name of the Test

Test Statistic

Assumptions for

Applying the Test

Test Type

1

Population mean when

population variance is known and population is normal

Z-test

Z= \frac{X - \mu }{\sigma /\sqrt{n}}

1. Sample

observations should be independent.

2. The measurement scale should be at

least interval scale.

Parametric Test

2

Population mean when

population variance is unknown and population is

normal

 

 

 

 

3

Population mean/median

when the form of population is not known and sample size is small

 

 

 

 

4

Population mean/median

when the form of population is not known and the data is in ordinal scale and sample

 

 

 

 

 

size is small

 

 

 

 

5

Population variance when the

population is normal distributed and sample size is

small

 

 

 

 

6

Independence of Two

Attributes

 

 

 

 

 

16 Feb 2018
Answer :
Word Count : 368
Sure! Let's fill out the table systematically based on standard statistical tests. I'll complete it row by row. --- ### Completed Table | S. No. | Test For | Name of the Test | Test Statistic | Assumptions for Applying the Test | Test Type | | ------ | ------------------------------------------------------------------------------------------------------------------------- | ------------------------------- | ---------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------- | ------------------- | | 1 | Population mean when population variance is known and population is normal | Z-test | $Z = \frac{X - \mu}{\sigma / \sqrt{n}}$ | 1. Sample observations should be independent.
2. Measurement scale should be at least interval. | Parametric Test | | 2 | Population mean when population variance is unknown and population is normal | t-test | $t = \frac{X - \mu}{s / \sqrt{n}}$ | 1. Sample observations are independent.
2. Population is approximately normal.
3. Measurement scale is at least interval. | Parametric Test | | 3
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