STAT
Storyboard Text
- GOOD MORNING CLASS!
- GOOD MORNING TEACHER!
- TODAY WE'RE GOING TO TALK ABOUT ON HOW TO DETERMINE THE APPROPRIATE TOOL WHEN THE VARIANCE IS KNOWN, UNKNOWN AND WHEN THE CENTRAL LIMIT THEOREM IS USED.
- IF THE POPULATION VARIANCE IS KNOWN THEN THAT MEANS THAT THE POPULATION IS NORMALLY DISTRIBUTED, WHAT ELSE?
- THEN THE POPULATION STANDARD DEVIATION IS KNOWN TOO SO WE WILL USE Z-TEST!
- THE SAMPLE SIZE IS LARGE! THE SAMPLE SIZE IS GREATER THAN OR EQUAL TO 30.
- THAT MEANS THAT THE SAMPLE SIZE IS LESS THAN 30.
- VERY GOOD! NOW LET'S PROCEED WHEN THE POPULATION VARIANCE IS UNKNOWN, IT ONLY MEANS THAT THE POPULATION IS NORMAL OR NEARLY NORMALLY DISTRIBUTED.
- THEN THE SAMPLE STANDARD DEVIATION IS KNOWN WHILE THE POPULATION STANDARD DEVIATION IS UNKNOWN.
- THAT WILL RESULT FOR US TO USE T-TEST!
- THE VARIANCE IS KNOWN OR UNKNOWN.
- ABSOLUTELY RIGHT! LASTLY IS THE CENTRAL LIMIT THEOREM, IT MEANS THAT THE POPULATION MAY NOT BE NORMALLY DISTRIBUTED.
- WE CAN USE Z-TEST BY REPLACING POPULATION STANDARD DEVIATION BY SAMPLE STANDARD DEVIATION IN THE FORMULA.
- THEN THE SAMPLE SIZE IS ALSO GREATER THAN OR EQUAL TO 30 OR CONSIDERED SUFFICIENTLY LARGE.
- VERY IMPRESSIVE! THAT'S ALL FOR TODAY. GOOD BYE AND THANK YOU CLASS!
- GOOD BYE AND THANK YOU, TEACHER!
Over 30 Million Storyboards Created