Level 4 Improvement Practitioner Six Sigma Part 3 Recap

Central Limit Theorem (CLT) is a concept that...

• only applies to samples of size 30 or less, and it guarantees that the sample mean will be exactly normally distributed.

• states that the distribution of the sample of a large number of independent, identically distributed random variables approaches a normal distribution, regardless of the original distribution of the variables.

• states that the sample mean will always be equal to the population mean, regardless of the sample size or the variability within the sample.

• does not apply if the original distribution is not normal, and it only works for distributions that are symmetric and unimodal.

What is the probability of rolling a total of 2 on two 6 sided dice

• 8.33%

• 5.66%

• 16.67%

• 2.78%

True or False...

Probability is a measure of how likely an event is to occur and is always expressed as a value between 0 and 1

0 means the event is certain

1 means the event is impossible

• True

• False

Answer explanation

0 means the event is impossible

1 means the event is certain

Probability - in a Venn Diagram - a Union of two events is denoted as...

• A∪B

• A∩B

• AՈB = Nil

• P(AUB)

Probability - in a Venn Diagram - an Intersection (both events will occur) is denoted as...

• A∪B

• A∩B

• AՈB = Nil

• P(AUB)

Probability - in a Venn Diagram - a mutually exclusive event (events that cannot happen at the same time) are denoted as...

• A∪B

• A∩B

• AՈB = Nil

• P(AUB)

The Factorial of a Number is denoted as...

• n>

• n"

• n~

• n!

Which of these is the correct calculation for determining the Factorial of 6

• 6/5/4/3/2/1

• 6x5x4x3x2x1

• 6+5+4+3+2+1

• 6-5-4-3-2-1

True or False - DESCRIPTIVE STATISTICS are statistical methods that summarise and describe the main features of a dataset. They provide simple summaries about the sample and the measures. They are used to present quantitative descriptions in a manageable form. 

• True

• False

True or False - INFERENTIAL STATISTICS are techniques used to make generalisations, predictions, or inferences about a population based on a sample of data.

• True

• False