The 365 Data Science team is proud to invite you to our own community forum. A very well build system to support your queries, questions and give the chance to show your knowledge and help others in their path of becoming Data Science specialists.
Ask
Anybody can ask a question
Answer
Anybody can answer
Vote
The best answers are voted up and moderated by our team

How do you actually create t-table or z-table?

How do you actually create t-table or z-table?

0
Votes
1
Answer
1 Answer

365 Team
0
Votes

Hi Amar,
 
These z-table and the t-table are well-known and have been developed by statisticians for the uses of testing.
 
The combined numbers in first column and first row of the z-table are the z-scores. The values in the middle of the table are the areas or probabilities that Z is less than the specified z-score. The probabilities are the integral from negative infinity to the z-score of the function of standardized normal distribution shown below (which is above the z-table).
 

 
The t-table also presents the t-scores and probabilities related to it. However, the t-table has different way of presenting the t-score and probabilities. The values in the middle are the t-scores whose tail areas are on the top rows and degrees of freedom on leftmost column. The marked value 2.262 is the t-score whose area to the right is 0.025 (area to the left is 0.975) with degrees of freedom 9.
 

 
Hope this helps.
Best,
The 365 Team