If a Particular Batch of Data Is Approximately Normally Distributed

question 12

Multiple Choice

If a particular batch of data is approximately normally distributed, we would find that approximately

• A) 2 of every 3 observations would fall between _± 1 standard deviation around the mean.
• B) 4 of every 5 observations would fall between _± 1.28 standard deviations around the mean.
• C) 19 of every 20 observations would fall between _± 2 standard deviations around the mean.
• D) All of the above.

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Definitions:

Testing

The process of evaluating a system or its component(s) with the intent to find whether it satisfies the specified requirements or not.

Null Hypothesis

A statistical hypothesis that suggests there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Ratio

A quantitative relationship between two numbers showing the number of times one value contains or is contained within the other.

F-test Statistic

A value used in statistics to compare two variances and determine if they are significantly different, often used in the analysis of variance (ANOVA) tests.