Chapter 35: Problem 6

Define the following terms: (a) Standard deviation (b) Sample population mean (c) Confidence limit (d) Q-test

Short Answer

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The standard deviation measures the amount of dispersion or variation in a set of values. The sample population mean refers to the average of a set of values. The confidence limit is a range of values that is believed to include an unknown parameter's true value. The Q-Test is a method used to identify and potentially discard outliers from a dataset.

Step by step solution

Definition of Standard Deviation

Standard deviation, often denoted by the Greek letter sigma (σ), is a measure of the amount of variation or dispersion of a set of values. It is the square root of the variance, which is calculated as the average of the squared differences from the mean.

Definition of Sample Population Mean

The sample population mean, also known as the sample mean or sample average, refers to the arithmetic average of a set of values or a distribution. It is calculated by adding all the numbers in the sample and then dividing by the number of values in the sample.

Definition of Confidence Limit

Confidence Limit, also known as the Confidence Interval, is a range of values, derived from a particular procedure or methodology, that is likely to contain the value of an unknown parameter. The degree of belief, or confidence level, quantifies the level of certainty that the parameter lies within the interval.

Definition of Q-test

The Q-test is a method used in statistics to identify and, possibly, discard outliers from a dataset. This test calculates a value which is then compared to a predetermined tabulated Q-value. If the calculated value is greater than the tabulated value, the data point is considered an outlier and may be discarded.

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Define the following terms: (a) Standard deviation (b) Sample population mean (c) Confidence limit (d) Q-test

Short Answer

Step by step solution

Definition of Standard Deviation

Definition of Sample Population Mean

Definition of Confidence Limit

Definition of Q-test

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