STATS
CHAPTER 6
The normal distribution and other continuous distributions:
Continuous probability distributions:
- Variable that can assume any value on a continuum:
o Thickness of an item.
o Time required to complete a task.
o Temperature of water.
o Height of an item.
- These can potentially take on any value depending only on the ability to measure precisely
and accurately.
SHAPE:
The normal distribution:
, SHAPE:
DENSITY FUNCTION:
THE STANDARDISED NORMAL:
- Any normal distribution (with any mean and standard deviation combination) can be
transformed into the standardised normal distribution (Z).
- To compute normal probabilities, one needs to transform X units into Z units.
- The standardised normal distribution (Z) has a mean of 0 and a standard deviation of 1.
CHAPTER 6
The normal distribution and other continuous distributions:
Continuous probability distributions:
- Variable that can assume any value on a continuum:
o Thickness of an item.
o Time required to complete a task.
o Temperature of water.
o Height of an item.
- These can potentially take on any value depending only on the ability to measure precisely
and accurately.
SHAPE:
The normal distribution:
, SHAPE:
DENSITY FUNCTION:
THE STANDARDISED NORMAL:
- Any normal distribution (with any mean and standard deviation combination) can be
transformed into the standardised normal distribution (Z).
- To compute normal probabilities, one needs to transform X units into Z units.
- The standardised normal distribution (Z) has a mean of 0 and a standard deviation of 1.
