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Business Intelligence consultant want to introduce inferential statistics to find various population parameters

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

The following are the Requirement for Inferential Statistics:

Business Details:

We conduct a Beneficiary satisfaction survey, these surveys are done periodical and sample data is collected. Currently, Descriptive statistics are applied to survey data.

 Requirements:

Business Intelligence consultant want to introduce inferential statistics to find various population parameters and other probabilities using sample data.

Implementation plan:  

We will implement the project in incremental approach i.e. we will complete  Req No 1 and then move to Req No 2..and so on. 

Req

no

Requirement Details

Comments

1

Currently, Descriptive statistics are applied on Sample data. I want to introduce Inferential statistics and proof that The Mean of Descriptive Statistics should be avoided and the “The Mean of Sample Means” should be used based CLT Theorem.  Based on CLT theorem that the “The mean of sample Means” should be used as Population Mean

 

 

Step-1:Data: Take 300+ sample data of citizen age

 

Step-2:Apply Descriptive Statistic: The Mean of 300+ sample ages is around 41.xx

 

Step-3:CLT: Create n samples from 300+ sample data of citizen age,  find “The mean of sample Means”, the result of this exercise should be different  Step-2

 

I did the above exercises and the results of Step-2 and Step-3 are equal.

 

 

  

2

using sample data i.e.300+ sample data of citizen response to Survey Questions, create n samples with n>30 and generate Histogram using “Sampling Distribution of Sample Means”

 

The below link has proof using Exponential distribution, but I need to proof using Discrete data i.e.  survey Answers by Citizens

https://www.youtube.com/watch?v=Pujol1yC1_A

 

 

 

3

create Hypothesis Test for 300+ sample data of citizen response to Survey Questions. Survey Answers are rated from 1 to 5 with below Satisfaction levels

 

satisfaction

satisfaction_text

1

Dissatisfied at all

2

Somewhat dissatisfied

3

Neutral

4

Somewhat satisfied

5

Completely satisfied

 

Null Hypothesis:

1.       Is the Population satisfaction level is  Equal to  “Somewhat Satisfied” .

Alternate Hypothesis:

1.       Population satisfaction level is  NOT Equal to “Somewhat Satisfied” .

 

Technical:

1.       μ0: μ =4

2.       μ1: μ # 4

3.       α  = 0.05 ( 5% Significance Level)

 

 

  

4

I need Help from Expert Statistician for following as Online meeting or through emails

1.       May ask for help for How to solve specific problem or how it should be done ?

2.       May ask questions on Statistics?

3.       May ask to validate my finding after applying specific statistical approach?

4.       May ask any other question on Inferential Statistic applications on sample survey data

 

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