Asked by Alexis Singleton on Jul 09, 2024
Verified
The Central Limit Theorem
A) is the theoretical foundation of the c-chart.
B) states that the average of assignable variations is zero.
C) allows managers to use the normal distribution as the basis for building some control charts.
D) states that the average range can be used as a proxy for the standard deviation.
E) controls the steepness of an operating characteristic curve.
Central Limit Theorem
A statistical theory stating that the distribution of sample means approximates a normal distribution as the sample size becomes larger, regardless of the population's distribution.
Normal Distribution
A statistical distribution where data forms a symmetrical bell-shaped curve around the mean, representing how many natural phenomena are distributed.
- Interpret the principles behind the Central Limit Theorem as it applies to the development and use of control charts.
Verified Answer
MH
Michael HarrisJul 15, 2024
Final Answer :
C
Explanation :
The Central Limit Theorem states that regardless of the distribution of the population, the distribution of the sample means will approach a normal distribution as sample size increases. This allows managers to use the normal distribution as the basis for building control charts, such as the X-bar and R charts.
Learning Objectives
- Interpret the principles behind the Central Limit Theorem as it applies to the development and use of control charts.