If a population standard deviation is 100, then the sampling ...

[jenna1]

If a population standard deviation is 100, then the sampling distribution for will have a standard deviation that is less than 100 for all sample sizes greater than 2.
 
  Indicate whether the statement is true or false

Question 2

What is the role of statistics and data analysis in studying process output?
 
  What will be an ideal response?

[SeanoH09]

Answer to Question 1

TRUE

Answer to Question 2

The role of statistics is to provide tools to analyze data collected from a process and enable employees to make informed decisions when the process needs short-term corrective action or long-term improvements. Statistical methods have been used for quality control since the 1920s when they were pioneered at the Western Electric Company. When a process operates under ideal conditions, variation in the distribution of output is due to common causes such as the process machines and measurement systems. Special causes of variation such as when a machine tool wears down can cause the distribution of process outputs to become unpredictable. Statistical process control provides a means of identifying special causes as well as telling us when the process is in control and should be left alone.